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Finding the Fourth Proportional to 137,269.26, 205,939.38 and 80,391.24

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Solution

The fourth proportional to 137,269.26, 205,939.38 and 80,391.24 is: 120,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,269.26 : 205,939.38 = 80,391.24 : x
  2. Step 2: Convert to fraction form
    137,269.26/205,939.38 = 80,391.24/x
  3. Step 3: Cross multiply
    137,269.26x = 205,939.38 × 80,391.24
  4. Step 4: Simplify right side
    137,269.26x = 16,555,722,123.03
  5. Step 5: Solve for x
    x = 16,555,722,123.03/137,269.26
  6. Step 6: Final answer
    x = 120,607.64

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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.