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Finding the Fourth Proportional to 82,163.20, 123,084.90 and 53,998.30

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Solution

The fourth proportional to 82,163.20, 123,084.90 and 53,998.30 is: 80,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163.20 : 123,084.90 = 53,998.30 : x
  2. Step 2: Convert to fraction form
    82,163.20/123,084.90 = 53,998.30/x
  3. Step 3: Cross multiply
    82,163.20x = 123,084.90 × 53,998.30
  4. Step 4: Simplify right side
    82,163.20x = 6,646,375,355.67
  5. Step 5: Solve for x
    x = 6,646,375,355.67/82,163.20
  6. Step 6: Final answer
    x = 80,892.36

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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.