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Finding the Fourth Proportional to 231,967.92, 347,853.44 and 82,245.90

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Solution

The fourth proportional to 231,967.92, 347,853.44 and 82,245.90 is: 123,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,967.92 : 347,853.44 = 82,245.90 : x
  2. Step 2: Convert to fraction form
    231,967.92/347,853.44 = 82,245.90/x
  3. Step 3: Cross multiply
    231,967.92x = 347,853.44 × 82,245.90
  4. Step 4: Simplify right side
    231,967.92x = 28,609,519,240.90
  5. Step 5: Solve for x
    x = 28,609,519,240.90/231,967.92
  6. Step 6: Final answer
    x = 123,333.95

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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.