Folding only adds numbers together, so the total never changes. Both strips add up to 56. Your largest target number, 30, must be a stack of several cells added together.
Hint 2: the length budget
The strip has 10 cells and the target has 4, so the folds together must remove 6 cells. A fold removes as many cells as its shorter side has.
Hint 3: the first fold
The first fold goes between cell 1 and cell 2, counting cells from the left.
Full solution
Show every fold
Fold 1 of 4
4146969296→546969296
Fold between cell 1 and cell 2. The left side flips over the right side.
Fold 2 of 4
546969296→96969296
Fold between cell 1 and cell 2. The left side flips over the right side.
Fold 3 of 4
96969296→15151196
Fold between cell 3 and cell 4. The left side flips over the right side.
Fold 4 of 4
15151196→301196
Fold between cell 1 and cell 2. The left side flips over the right side.