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Finding the Fourth Proportional to 215,575.92, 323,511.84 and 75,334.68

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Solution

The fourth proportional to 215,575.92, 323,511.84 and 75,334.68 is: 113,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,575.92 : 323,511.84 = 75,334.68 : x
  2. Step 2: Convert to fraction form
    215,575.92/323,511.84 = 75,334.68/x
  3. Step 3: Cross multiply
    215,575.92x = 323,511.84 × 75,334.68
  4. Step 4: Simplify right side
    215,575.92x = 24,371,660,942.61
  5. Step 5: Solve for x
    x = 24,371,660,942.61/215,575.92
  6. Step 6: Final answer
    x = 113,053.73

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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.