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Finding the Fourth Proportional to 75,609.75, 113,414.64 and 20,205.75

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Solution

The fourth proportional to 75,609.75, 113,414.64 and 20,205.75 is: 30,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,609.75 : 113,414.64 = 20,205.75 : x
  2. Step 2: Convert to fraction form
    75,609.75/113,414.64 = 20,205.75/x
  3. Step 3: Cross multiply
    75,609.75x = 113,414.64 × 20,205.75
  4. Step 4: Simplify right side
    75,609.75x = 2,291,627,862.18
  5. Step 5: Solve for x
    x = 2,291,627,862.18/75,609.75
  6. Step 6: Final answer
    x = 30,308.63

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