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Finding the Fourth Proportional to 180,614.68, 270,774.24 and 68,231.12

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Solution

The fourth proportional to 180,614.68, 270,774.24 and 68,231.12 is: 102,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,614.68 : 270,774.24 = 68,231.12 : x
  2. Step 2: Convert to fraction form
    180,614.68/270,774.24 = 68,231.12/x
  3. Step 3: Cross multiply
    180,614.68x = 270,774.24 × 68,231.12
  4. Step 4: Simplify right side
    180,614.68x = 18,475,229,662.35
  5. Step 5: Solve for x
    x = 18,475,229,662.35/180,614.68
  6. Step 6: Final answer
    x = 102,290.85

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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.