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Finding the Fourth Proportional to 137,732.52, 206,608.14 and 44,232.60

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Solution

The fourth proportional to 137,732.52, 206,608.14 and 44,232.60 is: 66,351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,732.52 : 206,608.14 = 44,232.60 : x
  2. Step 2: Convert to fraction form
    137,732.52/206,608.14 = 44,232.60/x
  3. Step 3: Cross multiply
    137,732.52x = 206,608.14 × 44,232.60
  4. Step 4: Simplify right side
    137,732.52x = 9,138,815,213.36
  5. Step 5: Solve for x
    x = 9,138,815,213.36/137,732.52
  6. Step 6: Final answer
    x = 66,351.91

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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.