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Finding the Fourth Proportional to 192,469.80, 288,704.70 and 133,372.20

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Solution

The fourth proportional to 192,469.80, 288,704.70 and 133,372.20 is: 200,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,469.80 : 288,704.70 = 133,372.20 : x
  2. Step 2: Convert to fraction form
    192,469.80/288,704.70 = 133,372.20/x
  3. Step 3: Cross multiply
    192,469.80x = 288,704.70 × 133,372.20
  4. Step 4: Simplify right side
    192,469.80x = 38,505,180,989.34
  5. Step 5: Solve for x
    x = 38,505,180,989.34/192,469.80
  6. Step 6: Final answer
    x = 200,058.30

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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.