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Finding the Fourth Proportional to 142,276.96, 196,342.14 and 78,614.20

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Solution

The fourth proportional to 142,276.96, 196,342.14 and 78,614.20 is: 108,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,276.96 : 196,342.14 = 78,614.20 : x
  2. Step 2: Convert to fraction form
    142,276.96/196,342.14 = 78,614.20/x
  3. Step 3: Cross multiply
    142,276.96x = 196,342.14 × 78,614.20
  4. Step 4: Simplify right side
    142,276.96x = 15,435,280,262.39
  5. Step 5: Solve for x
    x = 15,435,280,262.39/142,276.96
  6. Step 6: Final answer
    x = 108,487.56

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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.