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Finding the Fourth Proportional to 204,850.78, 282,695.25 and 114,212.50

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Solution

The fourth proportional to 204,850.78, 282,695.25 and 114,212.50 is: 157,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,850.78 : 282,695.25 = 114,212.50 : x
  2. Step 2: Convert to fraction form
    204,850.78/282,695.25 = 114,212.50/x
  3. Step 3: Cross multiply
    204,850.78x = 282,695.25 × 114,212.50
  4. Step 4: Simplify right side
    204,850.78x = 32,287,331,240.63
  5. Step 5: Solve for x
    x = 32,287,331,240.63/204,850.78
  6. Step 6: Final answer
    x = 157,613.90

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