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Finding the Fourth Proportional to 256,421.92, 384,669.28 and 78,943.68

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Solution

The fourth proportional to 256,421.92, 384,669.28 and 78,943.68 is: 118,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,421.92 : 384,669.28 = 78,943.68 : x
  2. Step 2: Convert to fraction form
    256,421.92/384,669.28 = 78,943.68/x
  3. Step 3: Cross multiply
    256,421.92x = 384,669.28 × 78,943.68
  4. Step 4: Simplify right side
    256,421.92x = 30,367,208,546.15
  5. Step 5: Solve for x
    x = 30,367,208,546.15/256,421.92
  6. Step 6: Final answer
    x = 118,426.73

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