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Finding the Fourth Proportional to 110,735.70, 166,103.55 and 75,743.70

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Solution

The fourth proportional to 110,735.70, 166,103.55 and 75,743.70 is: 113,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,735.70 : 166,103.55 = 75,743.70 : x
  2. Step 2: Convert to fraction form
    110,735.70/166,103.55 = 75,743.70/x
  3. Step 3: Cross multiply
    110,735.70x = 166,103.55 × 75,743.70
  4. Step 4: Simplify right side
    110,735.70x = 12,581,297,460.14
  5. Step 5: Solve for x
    x = 12,581,297,460.14/110,735.70
  6. Step 6: Final answer
    x = 113,615.55

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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.