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Finding the Fourth Proportional to 256,104.24, 384,146.28 and 78,602.16

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Solution

The fourth proportional to 256,104.24, 384,146.28 and 78,602.16 is: 117,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,104.24 : 384,146.28 = 78,602.16 : x
  2. Step 2: Convert to fraction form
    256,104.24/384,146.28 = 78,602.16/x
  3. Step 3: Cross multiply
    256,104.24x = 384,146.28 × 78,602.16
  4. Step 4: Simplify right side
    256,104.24x = 30,194,727,363.96
  5. Step 5: Solve for x
    x = 30,194,727,363.96/256,104.24
  6. Step 6: Final answer
    x = 117,900.15

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