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Finding the Fourth Proportional to 206,787.44, 285,346.50 and 116,122.79

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Solution

The fourth proportional to 206,787.44, 285,346.50 and 116,122.79 is: 160,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,787.44 : 285,346.50 = 116,122.79 : x
  2. Step 2: Convert to fraction form
    206,787.44/285,346.50 = 116,122.79/x
  3. Step 3: Cross multiply
    206,787.44x = 285,346.50 × 116,122.79
  4. Step 4: Simplify right side
    206,787.44x = 33,135,230,270.00
  5. Step 5: Solve for x
    x = 33,135,230,270.00/206,787.44
  6. Step 6: Final answer
    x = 160,238.12

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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.