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Finding the Fourth Proportional to 256,433.20, 384,691.60 and 78,940.24

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Solution

The fourth proportional to 256,433.20, 384,691.60 and 78,940.24 is: 118,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,433.20 : 384,691.60 = 78,940.24 : x
  2. Step 2: Convert to fraction form
    256,433.20/384,691.60 = 78,940.24/x
  3. Step 3: Cross multiply
    256,433.20x = 384,691.60 × 78,940.24
  4. Step 4: Simplify right side
    256,433.20x = 30,367,647,229.98
  5. Step 5: Solve for x
    x = 30,367,647,229.98/256,433.20
  6. Step 6: Final answer
    x = 118,423.23

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