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Finding the Fourth Proportional to 231,867, 347,699.22 and 82,057.50

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Solution

The fourth proportional to 231,867, 347,699.22 and 82,057.50 is: 123,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,867 : 347,699.22 = 82,057.50 : x
  2. Step 2: Convert to fraction form
    231,867/347,699.22 = 82,057.50/x
  3. Step 3: Cross multiply
    231,867x = 347,699.22 × 82,057.50
  4. Step 4: Simplify right side
    231,867x = 28,531,328,745.15
  5. Step 5: Solve for x
    x = 28,531,328,745.15/231,867
  6. Step 6: Final answer
    x = 123,050.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.