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Finding the Fourth Proportional to 81,105.89, 111,113.21 and 78,073.56

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Solution

The fourth proportional to 81,105.89, 111,113.21 and 78,073.56 is: 106,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,105.89 : 111,113.21 = 78,073.56 : x
  2. Step 2: Convert to fraction form
    81,105.89/111,113.21 = 78,073.56/x
  3. Step 3: Cross multiply
    81,105.89x = 111,113.21 × 78,073.56
  4. Step 4: Simplify right side
    81,105.89x = 8,675,003,867.73
  5. Step 5: Solve for x
    x = 8,675,003,867.73/81,105.89
  6. Step 6: Final answer
    x = 106,958.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.