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Finding the Fourth Proportional to 256,163.24, 384,234.78 and 78,661.16

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Solution

The fourth proportional to 256,163.24, 384,234.78 and 78,661.16 is: 117,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,163.24 : 384,234.78 = 78,661.16 : x
  2. Step 2: Convert to fraction form
    256,163.24/384,234.78 = 78,661.16/x
  3. Step 3: Cross multiply
    256,163.24x = 384,234.78 × 78,661.16
  4. Step 4: Simplify right side
    256,163.24x = 30,224,353,507.14
  5. Step 5: Solve for x
    x = 30,224,353,507.14/256,163.24
  6. Step 6: Final answer
    x = 117,988.64

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