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Finding the Fourth Proportional to 159,472.78, 239,209.51 and 149,729.70

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Solution

The fourth proportional to 159,472.78, 239,209.51 and 149,729.70 is: 224,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,472.78 : 239,209.51 = 149,729.70 : x
  2. Step 2: Convert to fraction form
    159,472.78/239,209.51 = 149,729.70/x
  3. Step 3: Cross multiply
    159,472.78x = 239,209.51 × 149,729.70
  4. Step 4: Simplify right side
    159,472.78x = 35,816,768,169.45
  5. Step 5: Solve for x
    x = 35,816,768,169.45/159,472.78
  6. Step 6: Final answer
    x = 224,594.87

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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.