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Finding the Fourth Proportional to 185,702.80, 278,363.52 and 73,337.48

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Solution

The fourth proportional to 185,702.80, 278,363.52 and 73,337.48 is: 109,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,702.80 : 278,363.52 = 73,337.48 : x
  2. Step 2: Convert to fraction form
    185,702.80/278,363.52 = 73,337.48/x
  3. Step 3: Cross multiply
    185,702.80x = 278,363.52 × 73,337.48
  4. Step 4: Simplify right side
    185,702.80x = 20,414,479,080.73
  5. Step 5: Solve for x
    x = 20,414,479,080.73/185,702.80
  6. Step 6: Final answer
    x = 109,930.92

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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.