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Finding the Fourth Proportional to 185,662.38, 278,508.29 and 52,543.47

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Solution

The fourth proportional to 185,662.38, 278,508.29 and 52,543.47 is: 78,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,662.38 : 278,508.29 = 52,543.47 : x
  2. Step 2: Convert to fraction form
    185,662.38/278,508.29 = 52,543.47/x
  3. Step 3: Cross multiply
    185,662.38x = 278,508.29 × 52,543.47
  4. Step 4: Simplify right side
    185,662.38x = 14,633,791,717.65
  5. Step 5: Solve for x
    x = 14,633,791,717.65/185,662.38
  6. Step 6: Final answer
    x = 78,819.37

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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.