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Finding the Fourth Proportional to 206,785.27, 309,945.39 and 105,298.55

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Solution

The fourth proportional to 206,785.27, 309,945.39 and 105,298.55 is: 157,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,785.27 : 309,945.39 = 105,298.55 : x
  2. Step 2: Convert to fraction form
    206,785.27/309,945.39 = 105,298.55/x
  3. Step 3: Cross multiply
    206,785.27x = 309,945.39 × 105,298.55
  4. Step 4: Simplify right side
    206,785.27x = 32,636,799,363.88
  5. Step 5: Solve for x
    x = 32,636,799,363.88/206,785.27
  6. Step 6: Final answer
    x = 157,829.42

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