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Finding the Fourth Proportional to 140,540.48, 194,039.42 and 83,198.26

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Solution

The fourth proportional to 140,540.48, 194,039.42 and 83,198.26 is: 114,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,540.48 : 194,039.42 = 83,198.26 : x
  2. Step 2: Convert to fraction form
    140,540.48/194,039.42 = 83,198.26/x
  3. Step 3: Cross multiply
    140,540.48x = 194,039.42 × 83,198.26
  4. Step 4: Simplify right side
    140,540.48x = 16,143,741,552.48
  5. Step 5: Solve for x
    x = 16,143,741,552.48/140,540.48
  6. Step 6: Final answer
    x = 114,868.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.