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Finding the Fourth Proportional to 361,891.92, 542,665.32 and 162,213.96

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Solution

The fourth proportional to 361,891.92, 542,665.32 and 162,213.96 is: 243,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,891.92 : 542,665.32 = 162,213.96 : x
  2. Step 2: Convert to fraction form
    361,891.92/542,665.32 = 162,213.96/x
  3. Step 3: Cross multiply
    361,891.92x = 542,665.32 × 162,213.96
  4. Step 4: Simplify right side
    361,891.92x = 88,027,890,511.87
  5. Step 5: Solve for x
    x = 88,027,890,511.87/361,891.92
  6. Step 6: Final answer
    x = 243,243.59

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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.