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Finding the Fourth Proportional to 202,324.70, 303,608.55 and 83,983.70

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Solution

The fourth proportional to 202,324.70, 303,608.55 and 83,983.70 is: 126,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,324.70 : 303,608.55 = 83,983.70 : x
  2. Step 2: Convert to fraction form
    202,324.70/303,608.55 = 83,983.70/x
  3. Step 3: Cross multiply
    202,324.70x = 303,608.55 × 83,983.70
  4. Step 4: Simplify right side
    202,324.70x = 25,498,169,380.64
  5. Step 5: Solve for x
    x = 25,498,169,380.64/202,324.70
  6. Step 6: Final answer
    x = 126,025.98

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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.