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Finding the Fourth Proportional to 136,542.80, 204,814.20 and 113,214.80

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Solution

The fourth proportional to 136,542.80, 204,814.20 and 113,214.80 is: 169,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,542.80 : 204,814.20 = 113,214.80 : x
  2. Step 2: Convert to fraction form
    136,542.80/204,814.20 = 113,214.80/x
  3. Step 3: Cross multiply
    136,542.80x = 204,814.20 × 113,214.80
  4. Step 4: Simplify right side
    136,542.80x = 23,187,998,690.16
  5. Step 5: Solve for x
    x = 23,187,998,690.16/136,542.80
  6. Step 6: Final answer
    x = 169,822.20

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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.