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Finding the Fourth Proportional to 361,895.92, 542,671.32 and 162,217.96

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Solution

The fourth proportional to 361,895.92, 542,671.32 and 162,217.96 is: 243,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,895.92 : 542,671.32 = 162,217.96 : x
  2. Step 2: Convert to fraction form
    361,895.92/542,671.32 = 162,217.96/x
  3. Step 3: Cross multiply
    361,895.92x = 542,671.32 × 162,217.96
  4. Step 4: Simplify right side
    361,895.92x = 88,031,034,480.91
  5. Step 5: Solve for x
    x = 88,031,034,480.91/361,895.92
  6. Step 6: Final answer
    x = 243,249.59

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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.