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Finding the Fourth Proportional to 135,745.62, 187,324.35 and 82,021.14

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Solution

The fourth proportional to 135,745.62, 187,324.35 and 82,021.14 is: 113,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,745.62 : 187,324.35 = 82,021.14 : x
  2. Step 2: Convert to fraction form
    135,745.62/187,324.35 = 82,021.14/x
  3. Step 3: Cross multiply
    135,745.62x = 187,324.35 × 82,021.14
  4. Step 4: Simplify right side
    135,745.62x = 15,364,556,736.76
  5. Step 5: Solve for x
    x = 15,364,556,736.76/135,745.62
  6. Step 6: Final answer
    x = 113,186.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.