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Finding the Fourth Proportional to 185,893.10, 278,839.65 and 133,793.90

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Solution

The fourth proportional to 185,893.10, 278,839.65 and 133,793.90 is: 200,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,893.10 : 278,839.65 = 133,793.90 : x
  2. Step 2: Convert to fraction form
    185,893.10/278,839.65 = 133,793.90/x
  3. Step 3: Cross multiply
    185,893.10x = 278,839.65 × 133,793.90
  4. Step 4: Simplify right side
    185,893.10x = 37,307,044,248.14
  5. Step 5: Solve for x
    x = 37,307,044,248.14/185,893.10
  6. Step 6: Final answer
    x = 200,690.85

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Why These Related Problems?

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