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Finding the Fourth Proportional to 256,395.56, 384,629.78 and 78,917.36

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Solution

The fourth proportional to 256,395.56, 384,629.78 and 78,917.36 is: 118,387.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,395.56 : 384,629.78 = 78,917.36 : x
  2. Step 2: Convert to fraction form
    256,395.56/384,629.78 = 78,917.36/x
  3. Step 3: Cross multiply
    256,395.56x = 384,629.78 × 78,917.36
  4. Step 4: Simplify right side
    256,395.56x = 30,353,964,497.25
  5. Step 5: Solve for x
    x = 30,353,964,497.25/256,395.56
  6. Step 6: Final answer
    x = 118,387.25

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