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Finding the Fourth Proportional to 142,306.39, 196,375.15 and 78,640.39

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Solution

The fourth proportional to 142,306.39, 196,375.15 and 78,640.39 is: 108,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,306.39 : 196,375.15 = 78,640.39 : x
  2. Step 2: Convert to fraction form
    142,306.39/196,375.15 = 78,640.39/x
  3. Step 3: Cross multiply
    142,306.39x = 196,375.15 × 78,640.39
  4. Step 4: Simplify right side
    142,306.39x = 15,443,018,382.31
  5. Step 5: Solve for x
    x = 15,443,018,382.31/142,306.39
  6. Step 6: Final answer
    x = 108,519.50

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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.