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Finding the Fourth Proportional to 206,814.24, 310,204.08 and 82,121.76

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Solution

The fourth proportional to 206,814.24, 310,204.08 and 82,121.76 is: 123,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,814.24 : 310,204.08 = 82,121.76 : x
  2. Step 2: Convert to fraction form
    206,814.24/310,204.08 = 82,121.76/x
  3. Step 3: Cross multiply
    206,814.24x = 310,204.08 × 82,121.76
  4. Step 4: Simplify right side
    206,814.24x = 25,474,505,008.78
  5. Step 5: Solve for x
    x = 25,474,505,008.78/206,814.24
  6. Step 6: Final answer
    x = 123,175.78

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