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Finding the Fourth Proportional to 110,234, 165,351 and 27,128

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Solution

The fourth proportional to 110,234, 165,351 and 27,128 is: 40,692

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,234 : 165,351 = 27,128 : x
  2. Step 2: Convert to fraction form
    110,234/165,351 = 27,128/x
  3. Step 3: Cross multiply
    110,234x = 165,351 × 27,128
  4. Step 4: Simplify right side
    110,234x = 4,485,641,928
  5. Step 5: Solve for x
    x = 4,485,641,928/110,234
  6. Step 6: Final answer
    x = 40,692

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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.