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Finding the Fourth Proportional to 274,862.48, 412,287.86 and 75,182.87

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Solution

The fourth proportional to 274,862.48, 412,287.86 and 75,182.87 is: 112,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,862.48 : 412,287.86 = 75,182.87 : x
  2. Step 2: Convert to fraction form
    274,862.48/412,287.86 = 75,182.87/x
  3. Step 3: Cross multiply
    274,862.48x = 412,287.86 × 75,182.87
  4. Step 4: Simplify right side
    274,862.48x = 30,996,982,143.60
  5. Step 5: Solve for x
    x = 30,996,982,143.60/274,862.48
  6. Step 6: Final answer
    x = 112,772.70

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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.