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Finding the Fourth Proportional to 106,770.16, 160,152.10 and 27,884.40

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Solution

The fourth proportional to 106,770.16, 160,152.10 and 27,884.40 is: 41,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,770.16 : 160,152.10 = 27,884.40 : x
  2. Step 2: Convert to fraction form
    106,770.16/160,152.10 = 27,884.40/x
  3. Step 3: Cross multiply
    106,770.16x = 160,152.10 × 27,884.40
  4. Step 4: Simplify right side
    106,770.16x = 4,465,745,217.24
  5. Step 5: Solve for x
    x = 4,465,745,217.24/106,770.16
  6. Step 6: Final answer
    x = 41,825.78

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