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Finding the Fourth Proportional to 107,198.21, 160,782.41 and 75,080.00

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Solution

The fourth proportional to 107,198.21, 160,782.41 and 75,080.00 is: 112,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,198.21 : 160,782.41 = 75,080.00 : x
  2. Step 2: Convert to fraction form
    107,198.21/160,782.41 = 75,080.00/x
  3. Step 3: Cross multiply
    107,198.21x = 160,782.41 × 75,080.00
  4. Step 4: Simplify right side
    107,198.21x = 12,071,542,163.49
  5. Step 5: Solve for x
    x = 12,071,542,163.49/107,198.21
  6. Step 6: Final answer
    x = 112,609.56

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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.