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Finding the Fourth Proportional to 110,605.20, 165,908.40 and 27,499.20

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Solution

The fourth proportional to 110,605.20, 165,908.40 and 27,499.20 is: 41,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,605.20 : 165,908.40 = 27,499.20 : x
  2. Step 2: Convert to fraction form
    110,605.20/165,908.40 = 27,499.20/x
  3. Step 3: Cross multiply
    110,605.20x = 165,908.40 × 27,499.20
  4. Step 4: Simplify right side
    110,605.20x = 4,562,348,273.28
  5. Step 5: Solve for x
    x = 4,562,348,273.28/110,605.20
  6. Step 6: Final answer
    x = 41,248.95

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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.