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Finding the Fourth Proportional to 137,757.14, 206,635.71 and 54,651.14

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Solution

The fourth proportional to 137,757.14, 206,635.71 and 54,651.14 is: 81,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,757.14 : 206,635.71 = 54,651.14 : x
  2. Step 2: Convert to fraction form
    137,757.14/206,635.71 = 54,651.14/x
  3. Step 3: Cross multiply
    137,757.14x = 206,635.71 × 54,651.14
  4. Step 4: Simplify right side
    137,757.14x = 11,292,877,116.21
  5. Step 5: Solve for x
    x = 11,292,877,116.21/137,757.14
  6. Step 6: Final answer
    x = 81,976.71

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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.