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Finding the Fourth Proportional to 463,147.44, 694,732.92 and 126,190.80

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Solution

The fourth proportional to 463,147.44, 694,732.92 and 126,190.80 is: 189,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,147.44 : 694,732.92 = 126,190.80 : x
  2. Step 2: Convert to fraction form
    463,147.44/694,732.92 = 126,190.80/x
  3. Step 3: Cross multiply
    463,147.44x = 694,732.92 × 126,190.80
  4. Step 4: Simplify right side
    463,147.44x = 87,668,902,961.14
  5. Step 5: Solve for x
    x = 87,668,902,961.14/463,147.44
  6. Step 6: Final answer
    x = 189,289.40

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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.