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Finding the Fourth Proportional to 205,233.60, 283,286.88 and 120,384.96

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Solution

The fourth proportional to 205,233.60, 283,286.88 and 120,384.96 is: 166,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,233.60 : 283,286.88 = 120,384.96 : x
  2. Step 2: Convert to fraction form
    205,233.60/283,286.88 = 120,384.96/x
  3. Step 3: Cross multiply
    205,233.60x = 283,286.88 × 120,384.96
  4. Step 4: Simplify right side
    205,233.60x = 34,103,479,717.32
  5. Step 5: Solve for x
    x = 34,103,479,717.32/205,233.60
  6. Step 6: Final answer
    x = 166,169.09

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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.