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Finding the Fourth Proportional to 256,998.40, 384,979.20 and 178,201.60

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Solution

The fourth proportional to 256,998.40, 384,979.20 and 178,201.60 is: 266,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,998.40 : 384,979.20 = 178,201.60 : x
  2. Step 2: Convert to fraction form
    256,998.40/384,979.20 = 178,201.60/x
  3. Step 3: Cross multiply
    256,998.40x = 384,979.20 × 178,201.60
  4. Step 4: Simplify right side
    256,998.40x = 68,603,909,406.72
  5. Step 5: Solve for x
    x = 68,603,909,406.72/256,998.40
  6. Step 6: Final answer
    x = 266,942.94

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