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Finding the Fourth Proportional to 194,506.98, 291,791.61 and 82,188.30

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Solution

The fourth proportional to 194,506.98, 291,791.61 and 82,188.30 is: 123,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,506.98 : 291,791.61 = 82,188.30 : x
  2. Step 2: Convert to fraction form
    194,506.98/291,791.61 = 82,188.30/x
  3. Step 3: Cross multiply
    194,506.98x = 291,791.61 × 82,188.30
  4. Step 4: Simplify right side
    194,506.98x = 23,981,856,380.16
  5. Step 5: Solve for x
    x = 23,981,856,380.16/194,506.98
  6. Step 6: Final answer
    x = 123,295.61

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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.