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Finding the Fourth Proportional to 377,695.71, 566,487.57 and 137,753.36

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Solution

The fourth proportional to 377,695.71, 566,487.57 and 137,753.36 is: 206,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,695.71 : 566,487.57 = 137,753.36 : x
  2. Step 2: Convert to fraction form
    377,695.71/566,487.57 = 137,753.36/x
  3. Step 3: Cross multiply
    377,695.71x = 566,487.57 × 137,753.36
  4. Step 4: Simplify right side
    377,695.71x = 78,035,565,974.20
  5. Step 5: Solve for x
    x = 78,035,565,974.20/377,695.71
  6. Step 6: Final answer
    x = 206,609.62

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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.