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Finding the Fourth Proportional to 159,062.28, 238,593.46 and 74,760.54

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Solution

The fourth proportional to 159,062.28, 238,593.46 and 74,760.54 is: 112,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,062.28 : 238,593.46 = 74,760.54 : x
  2. Step 2: Convert to fraction form
    159,062.28/238,593.46 = 74,760.54/x
  3. Step 3: Cross multiply
    159,062.28x = 238,593.46 × 74,760.54
  4. Step 4: Simplify right side
    159,062.28x = 17,837,375,910.07
  5. Step 5: Solve for x
    x = 17,837,375,910.07/159,062.28
  6. Step 6: Final answer
    x = 112,140.83

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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.