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Finding the Fourth Proportional to 256,214.20, 384,378.90 and 78,729.40

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Solution

The fourth proportional to 256,214.20, 384,378.90 and 78,729.40 is: 118,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,214.20 : 384,378.90 = 78,729.40 : x
  2. Step 2: Convert to fraction form
    256,214.20/384,378.90 = 78,729.40/x
  3. Step 3: Cross multiply
    256,214.20x = 384,378.90 × 78,729.40
  4. Step 4: Simplify right side
    256,214.20x = 30,261,920,169.66
  5. Step 5: Solve for x
    x = 30,261,920,169.66/256,214.20
  6. Step 6: Final answer
    x = 118,111.80

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