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Finding the Fourth Proportional to 200,644.23, 300,997.49 and 67,514.12

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Solution

The fourth proportional to 200,644.23, 300,997.49 and 67,514.12 is: 101,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,644.23 : 300,997.49 = 67,514.12 : x
  2. Step 2: Convert to fraction form
    200,644.23/300,997.49 = 67,514.12/x
  3. Step 3: Cross multiply
    200,644.23x = 300,997.49 × 67,514.12
  4. Step 4: Simplify right side
    200,644.23x = 20,321,578,817.00
  5. Step 5: Solve for x
    x = 20,321,578,817.00/200,644.23
  6. Step 6: Final answer
    x = 101,281.65

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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.