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Finding the Fourth Proportional to 106,851.62, 160,135.86 and 56,824

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Solution

The fourth proportional to 106,851.62, 160,135.86 and 56,824 is: 85,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,851.62 : 160,135.86 = 56,824 : x
  2. Step 2: Convert to fraction form
    106,851.62/160,135.86 = 56,824/x
  3. Step 3: Cross multiply
    106,851.62x = 160,135.86 × 56,824
  4. Step 4: Simplify right side
    106,851.62x = 9,099,560,108.64
  5. Step 5: Solve for x
    x = 9,099,560,108.64/106,851.62
  6. Step 6: Final answer
    x = 85,160.71

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