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Finding the Fourth Proportional to 202,407.57, 303,716.43 and 82,552.45

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Solution

The fourth proportional to 202,407.57, 303,716.43 and 82,552.45 is: 123,871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,407.57 : 303,716.43 = 82,552.45 : x
  2. Step 2: Convert to fraction form
    202,407.57/303,716.43 = 82,552.45/x
  3. Step 3: Cross multiply
    202,407.57x = 303,716.43 × 82,552.45
  4. Step 4: Simplify right side
    202,407.57x = 25,072,535,781.40
  5. Step 5: Solve for x
    x = 25,072,535,781.40/202,407.57
  6. Step 6: Final answer
    x = 123,871.53

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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.