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Finding the Fourth Proportional to 202,204.82, 303,177.46 and 83,957.78

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Solution

The fourth proportional to 202,204.82, 303,177.46 and 83,957.78 is: 125,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,204.82 : 303,177.46 = 83,957.78 : x
  2. Step 2: Convert to fraction form
    202,204.82/303,177.46 = 83,957.78/x
  3. Step 3: Cross multiply
    202,204.82x = 303,177.46 × 83,957.78
  4. Step 4: Simplify right side
    202,204.82x = 25,454,106,487.64
  5. Step 5: Solve for x
    x = 25,454,106,487.64/202,204.82
  6. Step 6: Final answer
    x = 125,882.79

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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.