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Finding the Fourth Proportional to 75,189.70, 103,766.14 and 41,198.26

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Solution

The fourth proportional to 75,189.70, 103,766.14 and 41,198.26 is: 56,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,189.70 : 103,766.14 = 41,198.26 : x
  2. Step 2: Convert to fraction form
    75,189.70/103,766.14 = 41,198.26/x
  3. Step 3: Cross multiply
    75,189.70x = 103,766.14 × 41,198.26
  4. Step 4: Simplify right side
    75,189.70x = 4,274,983,896.09
  5. Step 5: Solve for x
    x = 4,274,983,896.09/75,189.70
  6. Step 6: Final answer
    x = 56,855.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.