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Finding the Fourth Proportional to 274,523.20, 411,477.60 and 156,251.20

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Solution

The fourth proportional to 274,523.20, 411,477.60 and 156,251.20 is: 234,201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,523.20 : 411,477.60 = 156,251.20 : x
  2. Step 2: Convert to fraction form
    274,523.20/411,477.60 = 156,251.20/x
  3. Step 3: Cross multiply
    274,523.20x = 411,477.60 × 156,251.20
  4. Step 4: Simplify right side
    274,523.20x = 64,293,868,773.12
  5. Step 5: Solve for x
    x = 64,293,868,773.12/274,523.20
  6. Step 6: Final answer
    x = 234,201.95

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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.