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Finding the Fourth Proportional to 202,339.90, 303,546.30 and 84,023.20

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Solution

The fourth proportional to 202,339.90, 303,546.30 and 84,023.20 is: 126,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,339.90 : 303,546.30 = 84,023.20 : x
  2. Step 2: Convert to fraction form
    202,339.90/303,546.30 = 84,023.20/x
  3. Step 3: Cross multiply
    202,339.90x = 303,546.30 × 84,023.20
  4. Step 4: Simplify right side
    202,339.90x = 25,504,931,474.16
  5. Step 5: Solve for x
    x = 25,504,931,474.16/202,339.90
  6. Step 6: Final answer
    x = 126,049.94

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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.