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Finding the Fourth Proportional to 206,736.96, 285,147.90 and 189,795

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Solution

The fourth proportional to 206,736.96, 285,147.90 and 189,795 is: 261,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,736.96 : 285,147.90 = 189,795 : x
  2. Step 2: Convert to fraction form
    206,736.96/285,147.90 = 189,795/x
  3. Step 3: Cross multiply
    206,736.96x = 285,147.90 × 189,795
  4. Step 4: Simplify right side
    206,736.96x = 54,119,645,680.50
  5. Step 5: Solve for x
    x = 54,119,645,680.50/206,736.96
  6. Step 6: Final answer
    x = 261,780.21

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