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Finding the Fourth Proportional to 259,601.70, 389,414.70 and 82,122.60

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Solution

The fourth proportional to 259,601.70, 389,414.70 and 82,122.60 is: 123,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,601.70 : 389,414.70 = 82,122.60 : x
  2. Step 2: Convert to fraction form
    259,601.70/389,414.70 = 82,122.60/x
  3. Step 3: Cross multiply
    259,601.70x = 389,414.70 × 82,122.60
  4. Step 4: Simplify right side
    259,601.70x = 31,979,747,642.22
  5. Step 5: Solve for x
    x = 31,979,747,642.22/259,601.70
  6. Step 6: Final answer
    x = 123,187.74

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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.