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Finding the Fourth Proportional to 206,593.74, 285,267.42 and 168,358.91

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Solution

The fourth proportional to 206,593.74, 285,267.42 and 168,358.91 is: 232,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,593.74 : 285,267.42 = 168,358.91 : x
  2. Step 2: Convert to fraction form
    206,593.74/285,267.42 = 168,358.91/x
  3. Step 3: Cross multiply
    206,593.74x = 285,267.42 × 168,358.91
  4. Step 4: Simplify right side
    206,593.74x = 48,027,310,463.38
  5. Step 5: Solve for x
    x = 48,027,310,463.38/206,593.74
  6. Step 6: Final answer
    x = 232,472.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.