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Finding the Fourth Proportional to 185,425.40, 278,138.10 and 178,167.80

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Solution

The fourth proportional to 185,425.40, 278,138.10 and 178,167.80 is: 267,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,425.40 : 278,138.10 = 178,167.80 : x
  2. Step 2: Convert to fraction form
    185,425.40/278,138.10 = 178,167.80/x
  3. Step 3: Cross multiply
    185,425.40x = 278,138.10 × 178,167.80
  4. Step 4: Simplify right side
    185,425.40x = 49,555,253,373.18
  5. Step 5: Solve for x
    x = 49,555,253,373.18/185,425.40
  6. Step 6: Final answer
    x = 267,251.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.