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Finding the Fourth Proportional to 205,604.73, 283,616.24 and 120,705.39

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Solution

The fourth proportional to 205,604.73, 283,616.24 and 120,705.39 is: 166,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,604.73 : 283,616.24 = 120,705.39 : x
  2. Step 2: Convert to fraction form
    205,604.73/283,616.24 = 120,705.39/x
  3. Step 3: Cross multiply
    205,604.73x = 283,616.24 × 120,705.39
  4. Step 4: Simplify right side
    205,604.73x = 34,234,008,256.01
  5. Step 5: Solve for x
    x = 34,234,008,256.01/205,604.73
  6. Step 6: Final answer
    x = 166,503.99

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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.