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Finding the Fourth Proportional to 123,832.13, 170,890.46 and 67,243.50

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Solution

The fourth proportional to 123,832.13, 170,890.46 and 67,243.50 is: 92,797.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,832.13 : 170,890.46 = 67,243.50 : x
  2. Step 2: Convert to fraction form
    123,832.13/170,890.46 = 67,243.50/x
  3. Step 3: Cross multiply
    123,832.13x = 170,890.46 × 67,243.50
  4. Step 4: Simplify right side
    123,832.13x = 11,491,272,562.96
  5. Step 5: Solve for x
    x = 11,491,272,562.96/123,832.13
  6. Step 6: Final answer
    x = 92,797.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.