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Finding the Fourth Proportional to 148,105.38, 204,385.22 and 80,122.20

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Solution

The fourth proportional to 148,105.38, 204,385.22 and 80,122.20 is: 110,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,105.38 : 204,385.22 = 80,122.20 : x
  2. Step 2: Convert to fraction form
    148,105.38/204,385.22 = 80,122.20/x
  3. Step 3: Cross multiply
    148,105.38x = 204,385.22 × 80,122.20
  4. Step 4: Simplify right side
    148,105.38x = 16,375,793,073.27
  5. Step 5: Solve for x
    x = 16,375,793,073.27/148,105.38
  6. Step 6: Final answer
    x = 110,568.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.