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Finding the Fourth Proportional to 110,297, 165,446.04 and 27,191

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Solution

The fourth proportional to 110,297, 165,446.04 and 27,191 is: 40,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,297 : 165,446.04 = 27,191 : x
  2. Step 2: Convert to fraction form
    110,297/165,446.04 = 27,191/x
  3. Step 3: Cross multiply
    110,297x = 165,446.04 × 27,191
  4. Step 4: Simplify right side
    110,297x = 4,498,643,273.64
  5. Step 5: Solve for x
    x = 4,498,643,273.64/110,297
  6. Step 6: Final answer
    x = 40,786.63

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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.