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Finding the Fourth Proportional to 200,668.89, 276,716.35 and 140,217.48

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Solution

The fourth proportional to 200,668.89, 276,716.35 and 140,217.48 is: 193,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,668.89 : 276,716.35 = 140,217.48 : x
  2. Step 2: Convert to fraction form
    200,668.89/276,716.35 = 140,217.48/x
  3. Step 3: Cross multiply
    200,668.89x = 276,716.35 × 140,217.48
  4. Step 4: Simplify right side
    200,668.89x = 38,800,469,447.07
  5. Step 5: Solve for x
    x = 38,800,469,447.07/200,668.89
  6. Step 6: Final answer
    x = 193,355.68

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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.