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Finding the Fourth Proportional to 100,096.64, 137,974.56 and 78,842.24

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Solution

The fourth proportional to 100,096.64, 137,974.56 and 78,842.24 is: 108,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,096.64 : 137,974.56 = 78,842.24 : x
  2. Step 2: Convert to fraction form
    100,096.64/137,974.56 = 78,842.24/x
  3. Step 3: Cross multiply
    100,096.64x = 137,974.56 × 78,842.24
  4. Step 4: Simplify right side
    100,096.64x = 10,878,223,373.41
  5. Step 5: Solve for x
    x = 10,878,223,373.41/100,096.64
  6. Step 6: Final answer
    x = 108,677.21

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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.