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Finding the Fourth Proportional to 100,270.26, 150,408.01 and 29,190.02

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Solution

The fourth proportional to 100,270.26, 150,408.01 and 29,190.02 is: 43,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,270.26 : 150,408.01 = 29,190.02 : x
  2. Step 2: Convert to fraction form
    100,270.26/150,408.01 = 29,190.02/x
  3. Step 3: Cross multiply
    100,270.26x = 150,408.01 × 29,190.02
  4. Step 4: Simplify right side
    100,270.26x = 4,390,412,820.06
  5. Step 5: Solve for x
    x = 4,390,412,820.06/100,270.26
  6. Step 6: Final answer
    x = 43,785.79

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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.