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Finding the Fourth Proportional to 381,692.10, 572,538.15 and 132,399.30

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Solution

The fourth proportional to 381,692.10, 572,538.15 and 132,399.30 is: 198,598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,692.10 : 572,538.15 = 132,399.30 : x
  2. Step 2: Convert to fraction form
    381,692.10/572,538.15 = 132,399.30/x
  3. Step 3: Cross multiply
    381,692.10x = 572,538.15 × 132,399.30
  4. Step 4: Simplify right side
    381,692.10x = 75,803,650,283.30
  5. Step 5: Solve for x
    x = 75,803,650,283.30/381,692.10
  6. Step 6: Final answer
    x = 198,598.95

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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.