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Finding the Fourth Proportional to 256,738.39, 385,102.79 and 76,823.92

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Solution

The fourth proportional to 256,738.39, 385,102.79 and 76,823.92 is: 115,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,738.39 : 385,102.79 = 76,823.92 : x
  2. Step 2: Convert to fraction form
    256,738.39/385,102.79 = 76,823.92/x
  3. Step 3: Cross multiply
    256,738.39x = 385,102.79 × 76,823.92
  4. Step 4: Simplify right side
    256,738.39x = 29,585,105,930.74
  5. Step 5: Solve for x
    x = 29,585,105,930.74/256,738.39
  6. Step 6: Final answer
    x = 115,234.45

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