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Finding the Fourth Proportional to 513,007.49, 769,593.92 and 158,021.16

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Solution

The fourth proportional to 513,007.49, 769,593.92 and 158,021.16 is: 237,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,007.49 : 769,593.92 = 158,021.16 : x
  2. Step 2: Convert to fraction form
    513,007.49/769,593.92 = 158,021.16/x
  3. Step 3: Cross multiply
    513,007.49x = 769,593.92 × 158,021.16
  4. Step 4: Simplify right side
    513,007.49x = 121,612,123,177.24
  5. Step 5: Solve for x
    x = 121,612,123,177.24/513,007.49
  6. Step 6: Final answer
    x = 237,057.21

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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.