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Finding the Fourth Proportional to 256,422.80, 384,705.30 and 106,733.60

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Solution

The fourth proportional to 256,422.80, 384,705.30 and 106,733.60 is: 160,129.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,422.80 : 384,705.30 = 106,733.60 : x
  2. Step 2: Convert to fraction form
    256,422.80/384,705.30 = 106,733.60/x
  3. Step 3: Cross multiply
    256,422.80x = 384,705.30 × 106,733.60
  4. Step 4: Simplify right side
    256,422.80x = 41,060,981,608.08
  5. Step 5: Solve for x
    x = 41,060,981,608.08/256,422.80
  6. Step 6: Final answer
    x = 160,129.99

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