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Finding the Fourth Proportional to 202,286.25, 303,478.61 and 67,349.97

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Solution

The fourth proportional to 202,286.25, 303,478.61 and 67,349.97 is: 101,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,286.25 : 303,478.61 = 67,349.97 : x
  2. Step 2: Convert to fraction form
    202,286.25/303,478.61 = 67,349.97/x
  3. Step 3: Cross multiply
    202,286.25x = 303,478.61 × 67,349.97
  4. Step 4: Simplify right side
    202,286.25x = 20,439,274,942.39
  5. Step 5: Solve for x
    x = 20,439,274,942.39/202,286.25
  6. Step 6: Final answer
    x = 101,041.35

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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.