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Finding the Fourth Proportional to 256,258.28, 384,424.18 and 78,780.20

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Solution

The fourth proportional to 256,258.28, 384,424.18 and 78,780.20 is: 118,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,258.28 : 384,424.18 = 78,780.20 : x
  2. Step 2: Convert to fraction form
    256,258.28/384,424.18 = 78,780.20/x
  3. Step 3: Cross multiply
    256,258.28x = 384,424.18 × 78,780.20
  4. Step 4: Simplify right side
    256,258.28x = 30,285,011,666.16
  5. Step 5: Solve for x
    x = 30,285,011,666.16/256,258.28
  6. Step 6: Final answer
    x = 118,181.59

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