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Finding the Fourth Proportional to 147,010.78, 220,523.46 and 41,837.14

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Solution

The fourth proportional to 147,010.78, 220,523.46 and 41,837.14 is: 62,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,010.78 : 220,523.46 = 41,837.14 : x
  2. Step 2: Convert to fraction form
    147,010.78/220,523.46 = 41,837.14/x
  3. Step 3: Cross multiply
    147,010.78x = 220,523.46 × 41,837.14
  4. Step 4: Simplify right side
    147,010.78x = 9,226,070,869.30
  5. Step 5: Solve for x
    x = 9,226,070,869.30/147,010.78
  6. Step 6: Final answer
    x = 62,757.78

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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.