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Finding the Fourth Proportional to 180,839.90, 271,000.65 and 133,082.30

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Solution

The fourth proportional to 180,839.90, 271,000.65 and 133,082.30 is: 199,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,839.90 : 271,000.65 = 133,082.30 : x
  2. Step 2: Convert to fraction form
    180,839.90/271,000.65 = 133,082.30/x
  3. Step 3: Cross multiply
    180,839.90x = 271,000.65 × 133,082.30
  4. Step 4: Simplify right side
    180,839.90x = 36,065,389,803.50
  5. Step 5: Solve for x
    x = 36,065,389,803.50/180,839.90
  6. Step 6: Final answer
    x = 199,432.70

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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.