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Finding the Fourth Proportional to 256,120.20, 384,237.90 and 78,635.40

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Solution

The fourth proportional to 256,120.20, 384,237.90 and 78,635.40 is: 117,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,120.20 : 384,237.90 = 78,635.40 : x
  2. Step 2: Convert to fraction form
    256,120.20/384,237.90 = 78,635.40/x
  3. Step 3: Cross multiply
    256,120.20x = 384,237.90 × 78,635.40
  4. Step 4: Simplify right side
    256,120.20x = 30,214,700,961.66
  5. Step 5: Solve for x
    x = 30,214,700,961.66/256,120.20
  6. Step 6: Final answer
    x = 117,970.78

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