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Finding the Fourth Proportional to 272,146.68, 408,227.70 and 75,154.68

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Solution

The fourth proportional to 272,146.68, 408,227.70 and 75,154.68 is: 112,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,146.68 : 408,227.70 = 75,154.68 : x
  2. Step 2: Convert to fraction form
    272,146.68/408,227.70 = 75,154.68/x
  3. Step 3: Cross multiply
    272,146.68x = 408,227.70 × 75,154.68
  4. Step 4: Simplify right side
    272,146.68x = 30,680,222,160.64
  5. Step 5: Solve for x
    x = 30,680,222,160.64/272,146.68
  6. Step 6: Final answer
    x = 112,734.14

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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.