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Finding the Fourth Proportional to 142,279.74, 196,343.39 and 78,616.17

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Solution

The fourth proportional to 142,279.74, 196,343.39 and 78,616.17 is: 108,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,279.74 : 196,343.39 = 78,616.17 : x
  2. Step 2: Convert to fraction form
    142,279.74/196,343.39 = 78,616.17/x
  3. Step 3: Cross multiply
    142,279.74x = 196,343.39 × 78,616.17
  4. Step 4: Simplify right side
    142,279.74x = 15,435,765,523.16
  5. Step 5: Solve for x
    x = 15,435,765,523.16/142,279.74
  6. Step 6: Final answer
    x = 108,488.85

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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.