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Finding the Fourth Proportional to 256,195.68, 384,298.14 and 78,704.28

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Solution

The fourth proportional to 256,195.68, 384,298.14 and 78,704.28 is: 118,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,195.68 : 384,298.14 = 78,704.28 : x
  2. Step 2: Convert to fraction form
    256,195.68/384,298.14 = 78,704.28/x
  3. Step 3: Cross multiply
    256,195.68x = 384,298.14 × 78,704.28
  4. Step 4: Simplify right side
    256,195.68x = 30,245,908,414.04
  5. Step 5: Solve for x
    x = 30,245,908,414.04/256,195.68
  6. Step 6: Final answer
    x = 118,057.84

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