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Finding the Fourth Proportional to 322,194.12, 444,662.82 and 194,939.88

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Solution

The fourth proportional to 322,194.12, 444,662.82 and 194,939.88 is: 269,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,194.12 : 444,662.82 = 194,939.88 : x
  2. Step 2: Convert to fraction form
    322,194.12/444,662.82 = 194,939.88/x
  3. Step 3: Cross multiply
    322,194.12x = 444,662.82 × 194,939.88
  4. Step 4: Simplify right side
    322,194.12x = 86,682,516,771.26
  5. Step 5: Solve for x
    x = 86,682,516,771.26/322,194.12
  6. Step 6: Final answer
    x = 269,038.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.