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Finding the Fourth Proportional to 387,142.72, 580,796.16 and 137,824

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Solution

The fourth proportional to 387,142.72, 580,796.16 and 137,824 is: 206,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,142.72 : 580,796.16 = 137,824 : x
  2. Step 2: Convert to fraction form
    387,142.72/580,796.16 = 137,824/x
  3. Step 3: Cross multiply
    387,142.72x = 580,796.16 × 137,824
  4. Step 4: Simplify right side
    387,142.72x = 80,047,649,955.84
  5. Step 5: Solve for x
    x = 80,047,649,955.84/387,142.72
  6. Step 6: Final answer
    x = 206,765.22

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