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Finding the Fourth Proportional to 101,991.88, 140,709.46 and 75,198.12

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Solution

The fourth proportional to 101,991.88, 140,709.46 and 75,198.12 is: 103,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,991.88 : 140,709.46 = 75,198.12 : x
  2. Step 2: Convert to fraction form
    101,991.88/140,709.46 = 75,198.12/x
  3. Step 3: Cross multiply
    101,991.88x = 140,709.46 × 75,198.12
  4. Step 4: Simplify right side
    101,991.88x = 10,581,086,858.22
  5. Step 5: Solve for x
    x = 10,581,086,858.22/101,991.88
  6. Step 6: Final answer
    x = 103,744.40

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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.