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Finding the Fourth Proportional to 200,491.32, 300,764.62 and 67,381.89

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Solution

The fourth proportional to 200,491.32, 300,764.62 and 67,381.89 is: 101,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,491.32 : 300,764.62 = 67,381.89 : x
  2. Step 2: Convert to fraction form
    200,491.32/300,764.62 = 67,381.89/x
  3. Step 3: Cross multiply
    200,491.32x = 300,764.62 × 67,381.89
  4. Step 4: Simplify right side
    200,491.32x = 20,266,088,540.73
  5. Step 5: Solve for x
    x = 20,266,088,540.73/200,491.32
  6. Step 6: Final answer
    x = 101,082.12

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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.