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Finding the Fourth Proportional to 204,902.62, 282,767.22 and 114,264.46

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Solution

The fourth proportional to 204,902.62, 282,767.22 and 114,264.46 is: 157,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,902.62 : 282,767.22 = 114,264.46 : x
  2. Step 2: Convert to fraction form
    204,902.62/282,767.22 = 114,264.46/x
  3. Step 3: Cross multiply
    204,902.62x = 282,767.22 × 114,264.46
  4. Step 4: Simplify right side
    204,902.62x = 32,310,242,461.89
  5. Step 5: Solve for x
    x = 32,310,242,461.89/204,902.62
  6. Step 6: Final answer
    x = 157,685.85

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