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Finding the Fourth Proportional to 137,752.38, 206,624.52 and 57,832.92

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Solution

The fourth proportional to 137,752.38, 206,624.52 and 57,832.92 is: 86,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,752.38 : 206,624.52 = 57,832.92 : x
  2. Step 2: Convert to fraction form
    137,752.38/206,624.52 = 57,832.92/x
  3. Step 3: Cross multiply
    137,752.38x = 206,624.52 × 57,832.92
  4. Step 4: Simplify right side
    137,752.38x = 11,949,699,335.20
  5. Step 5: Solve for x
    x = 11,949,699,335.20/137,752.38
  6. Step 6: Final answer
    x = 86,747.68

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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.