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Finding the Fourth Proportional to 110,491.60, 165,542.20 and 106,837.20

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Solution

The fourth proportional to 110,491.60, 165,542.20 and 106,837.20 is: 160,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,491.60 : 165,542.20 = 106,837.20 : x
  2. Step 2: Convert to fraction form
    110,491.60/165,542.20 = 106,837.20/x
  3. Step 3: Cross multiply
    110,491.60x = 165,542.20 × 106,837.20
  4. Step 4: Simplify right side
    110,491.60x = 17,686,065,129.84
  5. Step 5: Solve for x
    x = 17,686,065,129.84/110,491.60
  6. Step 6: Final answer
    x = 160,067.06

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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.