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Finding the Fourth Proportional to 101,189.62, 151,757.97 and 30,093.10

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Solution

The fourth proportional to 101,189.62, 151,757.97 and 30,093.10 is: 45,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,189.62 : 151,757.97 = 30,093.10 : x
  2. Step 2: Convert to fraction form
    101,189.62/151,757.97 = 30,093.10/x
  3. Step 3: Cross multiply
    101,189.62x = 151,757.97 × 30,093.10
  4. Step 4: Simplify right side
    101,189.62x = 4,566,868,297.68
  5. Step 5: Solve for x
    x = 4,566,868,297.68/101,189.62
  6. Step 6: Final answer
    x = 45,131.79

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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.