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Finding the Fourth Proportional to 205,850.82, 284,086.65 and 115,204.94

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Solution

The fourth proportional to 205,850.82, 284,086.65 and 115,204.94 is: 158,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,850.82 : 284,086.65 = 115,204.94 : x
  2. Step 2: Convert to fraction form
    205,850.82/284,086.65 = 115,204.94/x
  3. Step 3: Cross multiply
    205,850.82x = 284,086.65 × 115,204.94
  4. Step 4: Simplify right side
    205,850.82x = 32,728,184,047.62
  5. Step 5: Solve for x
    x = 32,728,184,047.62/205,850.82
  6. Step 6: Final answer
    x = 158,989.82

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