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Finding the Fourth Proportional to 381,146.96, 571,720.44 and 131,692.88

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Solution

The fourth proportional to 381,146.96, 571,720.44 and 131,692.88 is: 197,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,146.96 : 571,720.44 = 131,692.88 : x
  2. Step 2: Convert to fraction form
    381,146.96/571,720.44 = 131,692.88/x
  3. Step 3: Cross multiply
    381,146.96x = 571,720.44 × 131,692.88
  4. Step 4: Simplify right side
    381,146.96x = 75,291,511,298.47
  5. Step 5: Solve for x
    x = 75,291,511,298.47/381,146.96
  6. Step 6: Final answer
    x = 197,539.32

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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.