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Finding the Fourth Proportional to 206,226.71, 284,587.73 and 120,180.11

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Solution

The fourth proportional to 206,226.71, 284,587.73 and 120,180.11 is: 165,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,226.71 : 284,587.73 = 120,180.11 : x
  2. Step 2: Convert to fraction form
    206,226.71/284,587.73 = 120,180.11/x
  3. Step 3: Cross multiply
    206,226.71x = 284,587.73 × 120,180.11
  4. Step 4: Simplify right side
    206,226.71x = 34,201,783,122.89
  5. Step 5: Solve for x
    x = 34,201,783,122.89/206,226.71
  6. Step 6: Final answer
    x = 165,845.56

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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.