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Finding the Fourth Proportional to 205,131.40, 307,869.90 and 80,561.80

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Solution

The fourth proportional to 205,131.40, 307,869.90 and 80,561.80 is: 120,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,131.40 : 307,869.90 = 80,561.80 : x
  2. Step 2: Convert to fraction form
    205,131.40/307,869.90 = 80,561.80/x
  3. Step 3: Cross multiply
    205,131.40x = 307,869.90 × 80,561.80
  4. Step 4: Simplify right side
    205,131.40x = 24,802,553,309.82
  5. Step 5: Solve for x
    x = 24,802,553,309.82/205,131.40
  6. Step 6: Final answer
    x = 120,910.56

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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.