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Finding the Fourth Proportional to 241,930.20, 362,808.90 and 84,163.80

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Solution

The fourth proportional to 241,930.20, 362,808.90 and 84,163.80 is: 126,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,930.20 : 362,808.90 = 84,163.80 : x
  2. Step 2: Convert to fraction form
    241,930.20/362,808.90 = 84,163.80/x
  3. Step 3: Cross multiply
    241,930.20x = 362,808.90 × 84,163.80
  4. Step 4: Simplify right side
    241,930.20x = 30,535,375,697.82
  5. Step 5: Solve for x
    x = 30,535,375,697.82/241,930.20
  6. Step 6: Final answer
    x = 126,215.64

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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.