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Since the ratio is 6 white balls per 16 total balls, then the ratio is $\frac{6}{16}=\frac{3}{8}$.
$\frac{3}{8}$ of the 112 balls should be white, so he should add $3\cdot14=\boxed{42}$ white balls.
Thus, he should add $112-42=\boxed{70}$ striped balls.