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Finding the Fourth Proportional to 231,868.50, 347,701.47 and 82,059

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Solution

The fourth proportional to 231,868.50, 347,701.47 and 82,059 is: 123,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,868.50 : 347,701.47 = 82,059 : x
  2. Step 2: Convert to fraction form
    231,868.50/347,701.47 = 82,059/x
  3. Step 3: Cross multiply
    231,868.50x = 347,701.47 × 82,059
  4. Step 4: Simplify right side
    231,868.50x = 28,532,034,926.73
  5. Step 5: Solve for x
    x = 28,532,034,926.73/231,868.50
  6. Step 6: Final answer
    x = 123,052.66

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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.