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Finding the Fourth Proportional to 142,050.66, 196,024.14 and 78,387.60

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Solution

The fourth proportional to 142,050.66, 196,024.14 and 78,387.60 is: 108,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,050.66 : 196,024.14 = 78,387.60 : x
  2. Step 2: Convert to fraction form
    142,050.66/196,024.14 = 78,387.60/x
  3. Step 3: Cross multiply
    142,050.66x = 196,024.14 × 78,387.60
  4. Step 4: Simplify right side
    142,050.66x = 15,365,861,876.66
  5. Step 5: Solve for x
    x = 15,365,861,876.66/142,050.66
  6. Step 6: Final answer
    x = 108,171.70

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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.