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Finding the Fourth Proportional to 275,839.76, 413,425.20 and 125,874.56

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Solution

The fourth proportional to 275,839.76, 413,425.20 and 125,874.56 is: 188,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,839.76 : 413,425.20 = 125,874.56 : x
  2. Step 2: Convert to fraction form
    275,839.76/413,425.20 = 125,874.56/x
  3. Step 3: Cross multiply
    275,839.76x = 413,425.20 × 125,874.56
  4. Step 4: Simplify right side
    275,839.76x = 52,039,715,142.91
  5. Step 5: Solve for x
    x = 52,039,715,142.91/275,839.76
  6. Step 6: Final answer
    x = 188,659.22

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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.