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Finding the Fourth Proportional to 264,640.91, 396,985.94 and 75,105.92

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Solution

The fourth proportional to 264,640.91, 396,985.94 and 75,105.92 is: 112,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,640.91 : 396,985.94 = 75,105.92 : x
  2. Step 2: Convert to fraction form
    264,640.91/396,985.94 = 75,105.92/x
  3. Step 3: Cross multiply
    264,640.91x = 396,985.94 × 75,105.92
  4. Step 4: Simplify right side
    264,640.91x = 29,815,994,250.76
  5. Step 5: Solve for x
    x = 29,815,994,250.76/264,640.91
  6. Step 6: Final answer
    x = 112,665.85

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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.