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Finding the Fourth Proportional to 200,574.46, 300,861.96 and 82,224.46

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Solution

The fourth proportional to 200,574.46, 300,861.96 and 82,224.46 is: 123,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,574.46 : 300,861.96 = 82,224.46 : x
  2. Step 2: Convert to fraction form
    200,574.46/300,861.96 = 82,224.46/x
  3. Step 3: Cross multiply
    200,574.46x = 300,861.96 × 82,224.46
  4. Step 4: Simplify right side
    200,574.46x = 24,738,212,195.54
  5. Step 5: Solve for x
    x = 24,738,212,195.54/200,574.46
  6. Step 6: Final answer
    x = 123,336.80

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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.