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Finding the Fourth Proportional to 208,198.68, 312,251.32 and 95,770.92

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Solution

The fourth proportional to 208,198.68, 312,251.32 and 95,770.92 is: 143,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,198.68 : 312,251.32 = 95,770.92 : x
  2. Step 2: Convert to fraction form
    208,198.68/312,251.32 = 95,770.92/x
  3. Step 3: Cross multiply
    208,198.68x = 312,251.32 × 95,770.92
  4. Step 4: Simplify right side
    208,198.68x = 29,904,596,187.61
  5. Step 5: Solve for x
    x = 29,904,596,187.61/208,198.68
  6. Step 6: Final answer
    x = 143,634.90

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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.