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Finding the Fourth Proportional to 221,684.22, 332,573.02 and 71,912.82

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Solution

The fourth proportional to 221,684.22, 332,573.02 and 71,912.82 is: 107,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,684.22 : 332,573.02 = 71,912.82 : x
  2. Step 2: Convert to fraction form
    221,684.22/332,573.02 = 71,912.82/x
  3. Step 3: Cross multiply
    221,684.22x = 332,573.02 × 71,912.82
  4. Step 4: Simplify right side
    221,684.22x = 23,916,263,724.12
  5. Step 5: Solve for x
    x = 23,916,263,724.12/221,684.22
  6. Step 6: Final answer
    x = 107,884.38

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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.