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Finding the Fourth Proportional to 81,104.89, 111,111.84 and 78,072.56

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Solution

The fourth proportional to 81,104.89, 111,111.84 and 78,072.56 is: 106,957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,104.89 : 111,111.84 = 78,072.56 : x
  2. Step 2: Convert to fraction form
    81,104.89/111,111.84 = 78,072.56/x
  3. Step 3: Cross multiply
    81,104.89x = 111,111.84 × 78,072.56
  4. Step 4: Simplify right side
    81,104.89x = 8,674,786,040.48
  5. Step 5: Solve for x
    x = 8,674,786,040.48/81,104.89
  6. Step 6: Final answer
    x = 106,957.63

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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.