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Finding the Fourth Proportional to 100,201.12, 150,324.72 and 30,081.76

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Solution

The fourth proportional to 100,201.12, 150,324.72 and 30,081.76 is: 45,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,201.12 : 150,324.72 = 30,081.76 : x
  2. Step 2: Convert to fraction form
    100,201.12/150,324.72 = 30,081.76/x
  3. Step 3: Cross multiply
    100,201.12x = 150,324.72 × 30,081.76
  4. Step 4: Simplify right side
    100,201.12x = 4,522,032,149.11
  5. Step 5: Solve for x
    x = 4,522,032,149.11/100,201.12
  6. Step 6: Final answer
    x = 45,129.56

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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.