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Finding the Fourth Proportional to 143,471.34, 215,233.13 and 47,414.05

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Solution

The fourth proportional to 143,471.34, 215,233.13 and 47,414.05 is: 71,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,471.34 : 215,233.13 = 47,414.05 : x
  2. Step 2: Convert to fraction form
    143,471.34/215,233.13 = 47,414.05/x
  3. Step 3: Cross multiply
    143,471.34x = 215,233.13 × 47,414.05
  4. Step 4: Simplify right side
    143,471.34x = 10,205,073,967.93
  5. Step 5: Solve for x
    x = 10,205,073,967.93/143,471.34
  6. Step 6: Final answer
    x = 71,129.70

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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.