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Finding the Fourth Proportional to 107,067.30, 160,540.20 and 40,509.60

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Solution

The fourth proportional to 107,067.30, 160,540.20 and 40,509.60 is: 60,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,067.30 : 160,540.20 = 40,509.60 : x
  2. Step 2: Convert to fraction form
    107,067.30/160,540.20 = 40,509.60/x
  3. Step 3: Cross multiply
    107,067.30x = 160,540.20 × 40,509.60
  4. Step 4: Simplify right side
    107,067.30x = 6,503,419,285.92
  5. Step 5: Solve for x
    x = 6,503,419,285.92/107,067.30
  6. Step 6: Final answer
    x = 60,741.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.