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Finding the Fourth Proportional to 299,200.24, 412,839.92 and 178,352.78

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Solution

The fourth proportional to 299,200.24, 412,839.92 and 178,352.78 is: 246,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,200.24 : 412,839.92 = 178,352.78 : x
  2. Step 2: Convert to fraction form
    299,200.24/412,839.92 = 178,352.78/x
  3. Step 3: Cross multiply
    299,200.24x = 412,839.92 × 178,352.78
  4. Step 4: Simplify right side
    299,200.24x = 73,631,146,535.21
  5. Step 5: Solve for x
    x = 73,631,146,535.21/299,200.24
  6. Step 6: Final answer
    x = 246,093.21

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