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Finding the Fourth Proportional to 180,586.90, 270,732.49 and 68,203.31

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Solution

The fourth proportional to 180,586.90, 270,732.49 and 68,203.31 is: 102,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,586.90 : 270,732.49 = 68,203.31 : x
  2. Step 2: Convert to fraction form
    180,586.90/270,732.49 = 68,203.31/x
  3. Step 3: Cross multiply
    180,586.90x = 270,732.49 × 68,203.31
  4. Step 4: Simplify right side
    180,586.90x = 18,464,851,942.54
  5. Step 5: Solve for x
    x = 18,464,851,942.54/180,586.90
  6. Step 6: Final answer
    x = 102,249.12

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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.