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Finding the Fourth Proportional to 256,794.49, 384,982.96 and 107,146.25

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Solution

The fourth proportional to 256,794.49, 384,982.96 and 107,146.25 is: 160,632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,794.49 : 384,982.96 = 107,146.25 : x
  2. Step 2: Convert to fraction form
    256,794.49/384,982.96 = 107,146.25/x
  3. Step 3: Cross multiply
    256,794.49x = 384,982.96 × 107,146.25
  4. Step 4: Simplify right side
    256,794.49x = 41,249,480,477.90
  5. Step 5: Solve for x
    x = 41,249,480,477.90/256,794.49
  6. Step 6: Final answer
    x = 160,632.26

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