smc

All the unknown entries can be expressed in terms of $b$. Since $100e=beh=ceg=def$, it follows that $h=\frac{100}{b},g=\frac{100}{c}$, and $f=\frac{100}{d}$. Comparing rows $1$ and $3$ then gives $50bc=2\cdot \frac{100}{b}\cdot \frac{100}{c}$, from which $c=\frac{20}{b}$. Comparing columns $1$ and $3$ gives $50d\cdot \frac{100}{c}=2c\cdot \frac{100}{d}$, from which $d=\frac{c}{5}=\frac{4}{b}$. Finally, $f=25b,g=5b$, and $e=10$. All the entries are positive integers if and only if $b=1,2,$ or $4$. The corresponding values for $g$ are $5,10,$ and $20$, and their sum is $\boxed{35}$.