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Finding the Fourth Proportional to 221,442.21, 332,216.01 and 71,682.48

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Solution

The fourth proportional to 221,442.21, 332,216.01 and 71,682.48 is: 107,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,442.21 : 332,216.01 = 71,682.48 : x
  2. Step 2: Convert to fraction form
    221,442.21/332,216.01 = 71,682.48/x
  3. Step 3: Cross multiply
    221,442.21x = 332,216.01 × 71,682.48
  4. Step 4: Simplify right side
    221,442.21x = 23,814,067,492.50
  5. Step 5: Solve for x
    x = 23,814,067,492.50/221,442.21
  6. Step 6: Final answer
    x = 107,540.78

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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.