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Finding the Fourth Proportional to 101,198.68, 151,771.55 and 30,102.17

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Solution

The fourth proportional to 101,198.68, 151,771.55 and 30,102.17 is: 45,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,198.68 : 151,771.55 = 30,102.17 : x
  2. Step 2: Convert to fraction form
    101,198.68/151,771.55 = 30,102.17/x
  3. Step 3: Cross multiply
    101,198.68x = 151,771.55 × 30,102.17
  4. Step 4: Simplify right side
    101,198.68x = 4,568,652,999.26
  5. Step 5: Solve for x
    x = 4,568,652,999.26/101,198.68
  6. Step 6: Final answer
    x = 45,145.38

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