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Finding the Fourth Proportional to 220,668.96, 304,524.72 and 120,067.68

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Solution

The fourth proportional to 220,668.96, 304,524.72 and 120,067.68 is: 165,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,668.96 : 304,524.72 = 120,067.68 : x
  2. Step 2: Convert to fraction form
    220,668.96/304,524.72 = 120,067.68/x
  3. Step 3: Cross multiply
    220,668.96x = 304,524.72 × 120,067.68
  4. Step 4: Simplify right side
    220,668.96x = 36,563,576,633.05
  5. Step 5: Solve for x
    x = 36,563,576,633.05/220,668.96
  6. Step 6: Final answer
    x = 165,694.24

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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.