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Finding the Fourth Proportional to 231,858.45, 347,778.56 and 82,092.69

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Solution

The fourth proportional to 231,858.45, 347,778.56 and 82,092.69 is: 123,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,858.45 : 347,778.56 = 82,092.69 : x
  2. Step 2: Convert to fraction form
    231,858.45/347,778.56 = 82,092.69/x
  3. Step 3: Cross multiply
    231,858.45x = 347,778.56 × 82,092.69
  4. Step 4: Simplify right side
    231,858.45x = 28,550,077,719.96
  5. Step 5: Solve for x
    x = 28,550,077,719.96/231,858.45
  6. Step 6: Final answer
    x = 123,135.81

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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.