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Finding the Fourth Proportional to 501,843.20, 752,691.90 and 146,820.20

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Solution

The fourth proportional to 501,843.20, 752,691.90 and 146,820.20 is: 220,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,843.20 : 752,691.90 = 146,820.20 : x
  2. Step 2: Convert to fraction form
    501,843.20/752,691.90 = 146,820.20/x
  3. Step 3: Cross multiply
    501,843.20x = 752,691.90 × 146,820.20
  4. Step 4: Simplify right side
    501,843.20x = 110,510,375,296.38
  5. Step 5: Solve for x
    x = 110,510,375,296.38/501,843.20
  6. Step 6: Final answer
    x = 220,208.97

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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.