Find the sum of $\text{🍎}+\text{🍌}+\text{🍍}$ for all triples of positive integers $\text{🍎},\text{🍌},\text{🍍}$ which satisfy

$$\frac{\text{🍎}}{\text{🍌}+\text{🍍}}+\frac{\text{🍌}}{\text{🍍}+\text{🍎}}+\frac{\text{🍍}}{\text{🍎}+\text{🍍}}=4$$

and $\text{🍎}+\text{🍌}+\text{🍍}\le {10}^7$.

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