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Finding the Fourth Proportional to 178,251.24, 267,363.72 and 65,879.04

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Solution

The fourth proportional to 178,251.24, 267,363.72 and 65,879.04 is: 98,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,251.24 : 267,363.72 = 65,879.04 : x
  2. Step 2: Convert to fraction form
    178,251.24/267,363.72 = 65,879.04/x
  3. Step 3: Cross multiply
    178,251.24x = 267,363.72 × 65,879.04
  4. Step 4: Simplify right side
    178,251.24x = 17,613,665,204.43
  5. Step 5: Solve for x
    x = 17,613,665,204.43/178,251.24
  6. Step 6: Final answer
    x = 98,813.70

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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.