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Finding the Fourth Proportional to 263,500.82, 395,251.77 and 123,357.86

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Solution

The fourth proportional to 263,500.82, 395,251.77 and 123,357.86 is: 185,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,500.82 : 395,251.77 = 123,357.86 : x
  2. Step 2: Convert to fraction form
    263,500.82/395,251.77 = 123,357.86/x
  3. Step 3: Cross multiply
    263,500.82x = 395,251.77 × 123,357.86
  4. Step 4: Simplify right side
    263,500.82x = 48,757,412,508.41
  5. Step 5: Solve for x
    x = 48,757,412,508.41/263,500.82
  6. Step 6: Final answer
    x = 185,037.04

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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.