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Finding the Fourth Proportional to 68,142.62, 102,214.31 and 60,680.76

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Solution

The fourth proportional to 68,142.62, 102,214.31 and 60,680.76 is: 91,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,142.62 : 102,214.31 = 60,680.76 : x
  2. Step 2: Convert to fraction form
    68,142.62/102,214.31 = 60,680.76/x
  3. Step 3: Cross multiply
    68,142.62x = 102,214.31 × 60,680.76
  4. Step 4: Simplify right side
    68,142.62x = 6,202,442,243.25
  5. Step 5: Solve for x
    x = 6,202,442,243.25/68,142.62
  6. Step 6: Final answer
    x = 91,021.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.