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Finding the Fourth Proportional to 381,911.50, 572,867.25 and 132,593.50

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Solution

The fourth proportional to 381,911.50, 572,867.25 and 132,593.50 is: 198,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,911.50 : 572,867.25 = 132,593.50 : x
  2. Step 2: Convert to fraction form
    381,911.50/572,867.25 = 132,593.50/x
  3. Step 3: Cross multiply
    381,911.50x = 572,867.25 × 132,593.50
  4. Step 4: Simplify right side
    381,911.50x = 75,958,473,712.88
  5. Step 5: Solve for x
    x = 75,958,473,712.88/381,911.50
  6. Step 6: Final answer
    x = 198,890.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.