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Finding the Fourth Proportional to 202,407.50, 303,716.33 and 82,552.38

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Solution

The fourth proportional to 202,407.50, 303,716.33 and 82,552.38 is: 123,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,407.50 : 303,716.33 = 82,552.38 : x
  2. Step 2: Convert to fraction form
    202,407.50/303,716.33 = 82,552.38/x
  3. Step 3: Cross multiply
    202,407.50x = 303,716.33 × 82,552.38
  4. Step 4: Simplify right side
    202,407.50x = 25,072,506,767.33
  5. Step 5: Solve for x
    x = 25,072,506,767.33/202,407.50
  6. Step 6: Final answer
    x = 123,871.43

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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.