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Finding the Fourth Proportional to 205,194.48, 283,161 and 128,754.73

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Solution

The fourth proportional to 205,194.48, 283,161 and 128,754.73 is: 177,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,194.48 : 283,161 = 128,754.73 : x
  2. Step 2: Convert to fraction form
    205,194.48/283,161 = 128,754.73/x
  3. Step 3: Cross multiply
    205,194.48x = 283,161 × 128,754.73
  4. Step 4: Simplify right side
    205,194.48x = 36,458,318,101.53
  5. Step 5: Solve for x
    x = 36,458,318,101.53/205,194.48
  6. Step 6: Final answer
    x = 177,676.90

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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.