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Finding the Fourth Proportional to 101,515.38, 140,092.46 and 56,197.55

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Solution

The fourth proportional to 101,515.38, 140,092.46 and 56,197.55 is: 77,553.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,515.38 : 140,092.46 = 56,197.55 : x
  2. Step 2: Convert to fraction form
    101,515.38/140,092.46 = 56,197.55/x
  3. Step 3: Cross multiply
    101,515.38x = 140,092.46 × 56,197.55
  4. Step 4: Simplify right side
    101,515.38x = 7,872,852,044.02
  5. Step 5: Solve for x
    x = 7,872,852,044.02/101,515.38
  6. Step 6: Final answer
    x = 77,553.29

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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.