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Finding the Fourth Proportional to 231,773.27, 347,815.71 and 82,012.95

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Solution

The fourth proportional to 231,773.27, 347,815.71 and 82,012.95 is: 123,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,773.27 : 347,815.71 = 82,012.95 : x
  2. Step 2: Convert to fraction form
    231,773.27/347,815.71 = 82,012.95/x
  3. Step 3: Cross multiply
    231,773.27x = 347,815.71 × 82,012.95
  4. Step 4: Simplify right side
    231,773.27x = 28,525,392,433.44
  5. Step 5: Solve for x
    x = 28,525,392,433.44/231,773.27
  6. Step 6: Final answer
    x = 123,074.56

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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.