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Finding the Fourth Proportional to 278,807.38, 384,753.18 and 151,481.86

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Solution

The fourth proportional to 278,807.38, 384,753.18 and 151,481.86 is: 209,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,807.38 : 384,753.18 = 151,481.86 : x
  2. Step 2: Convert to fraction form
    278,807.38/384,753.18 = 151,481.86/x
  3. Step 3: Cross multiply
    278,807.38x = 384,753.18 × 151,481.86
  4. Step 4: Simplify right side
    278,807.38x = 58,283,127,347.31
  5. Step 5: Solve for x
    x = 58,283,127,347.31/278,807.38
  6. Step 6: Final answer
    x = 209,044.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.