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Finding the Fourth Proportional to 100,290.96, 150,439.68 and 30,170.88

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Solution

The fourth proportional to 100,290.96, 150,439.68 and 30,170.88 is: 45,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,290.96 : 150,439.68 = 30,170.88 : x
  2. Step 2: Convert to fraction form
    100,290.96/150,439.68 = 30,170.88/x
  3. Step 3: Cross multiply
    100,290.96x = 150,439.68 × 30,170.88
  4. Step 4: Simplify right side
    100,290.96x = 4,538,897,532.52
  5. Step 5: Solve for x
    x = 4,538,897,532.52/100,290.96
  6. Step 6: Final answer
    x = 45,257.29

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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.