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Finding the Fourth Proportional to 142,092.10, 196,073.12 and 78,425.78

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Solution

The fourth proportional to 142,092.10, 196,073.12 and 78,425.78 is: 108,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,092.10 : 196,073.12 = 78,425.78 : x
  2. Step 2: Convert to fraction form
    142,092.10/196,073.12 = 78,425.78/x
  3. Step 3: Cross multiply
    142,092.10x = 196,073.12 × 78,425.78
  4. Step 4: Simplify right side
    142,092.10x = 15,377,187,373.03
  5. Step 5: Solve for x
    x = 15,377,187,373.03/142,092.10
  6. Step 6: Final answer
    x = 108,219.86

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