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Finding the Fourth Proportional to 381,843.60, 572,765.40 and 132,525.60

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Solution

The fourth proportional to 381,843.60, 572,765.40 and 132,525.60 is: 198,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,843.60 : 572,765.40 = 132,525.60 : x
  2. Step 2: Convert to fraction form
    381,843.60/572,765.40 = 132,525.60/x
  3. Step 3: Cross multiply
    381,843.60x = 572,765.40 × 132,525.60
  4. Step 4: Simplify right side
    381,843.60x = 75,906,078,294.24
  5. Step 5: Solve for x
    x = 75,906,078,294.24/381,843.60
  6. Step 6: Final answer
    x = 198,788.40

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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.