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Finding the Fourth Proportional to 102,868.58, 142,039.17 and 78,957.38

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Solution

The fourth proportional to 102,868.58, 142,039.17 and 78,957.38 is: 109,023.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,868.58 : 142,039.17 = 78,957.38 : x
  2. Step 2: Convert to fraction form
    102,868.58/142,039.17 = 78,957.38/x
  3. Step 3: Cross multiply
    102,868.58x = 142,039.17 × 78,957.38
  4. Step 4: Simplify right side
    102,868.58x = 11,215,040,720.57
  5. Step 5: Solve for x
    x = 11,215,040,720.57/102,868.58
  6. Step 6: Final answer
    x = 109,023.00

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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.