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Finding the Fourth Proportional to 157,057.49, 235,450.15 and 63,502.49

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Solution

The fourth proportional to 157,057.49, 235,450.15 and 63,502.49 is: 95,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,057.49 : 235,450.15 = 63,502.49 : x
  2. Step 2: Convert to fraction form
    157,057.49/235,450.15 = 63,502.49/x
  3. Step 3: Cross multiply
    157,057.49x = 235,450.15 × 63,502.49
  4. Step 4: Simplify right side
    157,057.49x = 14,951,669,459.87
  5. Step 5: Solve for x
    x = 14,951,669,459.87/157,057.49
  6. Step 6: Final answer
    x = 95,198.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.