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Finding the Fourth Proportional to 327,146.92, 490,772.22 and 102,489.64

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Solution

The fourth proportional to 327,146.92, 490,772.22 and 102,489.64 is: 153,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,146.92 : 490,772.22 = 102,489.64 : x
  2. Step 2: Convert to fraction form
    327,146.92/490,772.22 = 102,489.64/x
  3. Step 3: Cross multiply
    327,146.92x = 490,772.22 × 102,489.64
  4. Step 4: Simplify right side
    327,146.92x = 50,299,068,149.80
  5. Step 5: Solve for x
    x = 50,299,068,149.80/327,146.92
  6. Step 6: Final answer
    x = 153,750.70

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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.