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Finding the Fourth Proportional to 202,195.46, 303,282.25 and 61,954.49

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Solution

The fourth proportional to 202,195.46, 303,282.25 and 61,954.49 is: 92,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,195.46 : 303,282.25 = 61,954.49 : x
  2. Step 2: Convert to fraction form
    202,195.46/303,282.25 = 61,954.49/x
  3. Step 3: Cross multiply
    202,195.46x = 303,282.25 × 61,954.49
  4. Step 4: Simplify right side
    202,195.46x = 18,789,697,124.80
  5. Step 5: Solve for x
    x = 18,789,697,124.80/202,195.46
  6. Step 6: Final answer
    x = 92,928.38

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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.