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Finding the Fourth Proportional to 205,162.27, 283,171.17 and 120,306.67

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Solution

The fourth proportional to 205,162.27, 283,171.17 and 120,306.67 is: 166,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,162.27 : 283,171.17 = 120,306.67 : x
  2. Step 2: Convert to fraction form
    205,162.27/283,171.17 = 120,306.67/x
  3. Step 3: Cross multiply
    205,162.27x = 283,171.17 × 120,306.67
  4. Step 4: Simplify right side
    205,162.27x = 34,067,379,343.63
  5. Step 5: Solve for x
    x = 34,067,379,343.63/205,162.27
  6. Step 6: Final answer
    x = 166,050.90

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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.