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Finding the Fourth Proportional to 200,622.46, 300,950.10 and 82,294.83

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Solution

The fourth proportional to 200,622.46, 300,950.10 and 82,294.83 is: 123,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,622.46 : 300,950.10 = 82,294.83 : x
  2. Step 2: Convert to fraction form
    200,622.46/300,950.10 = 82,294.83/x
  3. Step 3: Cross multiply
    200,622.46x = 300,950.10 × 82,294.83
  4. Step 4: Simplify right side
    200,622.46x = 24,766,635,880.81
  5. Step 5: Solve for x
    x = 24,766,635,880.81/200,622.46
  6. Step 6: Final answer
    x = 123,448.97

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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.