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Finding the Fourth Proportional to 202,144.75, 303,087.49 and 83,897.71

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Solution

The fourth proportional to 202,144.75, 303,087.49 and 83,897.71 is: 125,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,144.75 : 303,087.49 = 83,897.71 : x
  2. Step 2: Convert to fraction form
    202,144.75/303,087.49 = 83,897.71/x
  3. Step 3: Cross multiply
    202,144.75x = 303,087.49 × 83,897.71
  4. Step 4: Simplify right side
    202,144.75x = 25,428,346,340.65
  5. Step 5: Solve for x
    x = 25,428,346,340.65/202,144.75
  6. Step 6: Final answer
    x = 125,792.76

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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.