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Finding the Fourth Proportional to 204,123.24, 305,920.80 and 109,252.80

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Solution

The fourth proportional to 204,123.24, 305,920.80 and 109,252.80 is: 163,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,123.24 : 305,920.80 = 109,252.80 : x
  2. Step 2: Convert to fraction form
    204,123.24/305,920.80 = 109,252.80/x
  3. Step 3: Cross multiply
    204,123.24x = 305,920.80 × 109,252.80
  4. Step 4: Simplify right side
    204,123.24x = 33,422,703,978.24
  5. Step 5: Solve for x
    x = 33,422,703,978.24/204,123.24
  6. Step 6: Final answer
    x = 163,737.87

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