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Finding the Fourth Proportional to 256,146.64, 384,277.06 and 78,671.56

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Solution

The fourth proportional to 256,146.64, 384,277.06 and 78,671.56 is: 118,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,146.64 : 384,277.06 = 78,671.56 : x
  2. Step 2: Convert to fraction form
    256,146.64/384,277.06 = 78,671.56/x
  3. Step 3: Cross multiply
    256,146.64x = 384,277.06 × 78,671.56
  4. Step 4: Simplify right side
    256,146.64x = 30,231,675,782.41
  5. Step 5: Solve for x
    x = 30,231,675,782.41/256,146.64
  6. Step 6: Final answer
    x = 118,024.88

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