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Finding the Fourth Proportional to 148,668, 205,163.37 and 80,685.56

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Solution

The fourth proportional to 148,668, 205,163.37 and 80,685.56 is: 111,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,668 : 205,163.37 = 80,685.56 : x
  2. Step 2: Convert to fraction form
    148,668/205,163.37 = 80,685.56/x
  3. Step 3: Cross multiply
    148,668x = 205,163.37 × 80,685.56
  4. Step 4: Simplify right side
    148,668x = 16,553,720,374.12
  5. Step 5: Solve for x
    x = 16,553,720,374.12/148,668
  6. Step 6: Final answer
    x = 111,346.90

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