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Finding the Fourth Proportional to 159,472.28, 239,208.76 and 149,729.20

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Solution

The fourth proportional to 159,472.28, 239,208.76 and 149,729.20 is: 224,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,472.28 : 239,208.76 = 149,729.20 : x
  2. Step 2: Convert to fraction form
    159,472.28/239,208.76 = 149,729.20/x
  3. Step 3: Cross multiply
    159,472.28x = 239,208.76 × 149,729.20
  4. Step 4: Simplify right side
    159,472.28x = 35,816,534,697.43
  5. Step 5: Solve for x
    x = 35,816,534,697.43/159,472.28
  6. Step 6: Final answer
    x = 224,594.11

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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.