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Finding the Fourth Proportional to 151,906.10, 227,531.10 and 132,223.10

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Solution

The fourth proportional to 151,906.10, 227,531.10 and 132,223.10 is: 198,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,906.10 : 227,531.10 = 132,223.10 : x
  2. Step 2: Convert to fraction form
    151,906.10/227,531.10 = 132,223.10/x
  3. Step 3: Cross multiply
    151,906.10x = 227,531.10 × 132,223.10
  4. Step 4: Simplify right side
    151,906.10x = 30,084,867,388.41
  5. Step 5: Solve for x
    x = 30,084,867,388.41/151,906.10
  6. Step 6: Final answer
    x = 198,049.11

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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.