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Finding the Fourth Proportional to 110,203.93, 165,321.46 and 35,306.55

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Solution

The fourth proportional to 110,203.93, 165,321.46 and 35,306.55 is: 52,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,203.93 : 165,321.46 = 35,306.55 : x
  2. Step 2: Convert to fraction form
    110,203.93/165,321.46 = 35,306.55/x
  3. Step 3: Cross multiply
    110,203.93x = 165,321.46 × 35,306.55
  4. Step 4: Simplify right side
    110,203.93x = 5,836,930,239.10
  5. Step 5: Solve for x
    x = 5,836,930,239.10/110,203.93
  6. Step 6: Final answer
    x = 52,964.81

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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.