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Finding the Fourth Proportional to 221,912.40, 332,674.20 and 133,071.60

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Solution

The fourth proportional to 221,912.40, 332,674.20 and 133,071.60 is: 199,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,912.40 : 332,674.20 = 133,071.60 : x
  2. Step 2: Convert to fraction form
    221,912.40/332,674.20 = 133,071.60/x
  3. Step 3: Cross multiply
    221,912.40x = 332,674.20 × 133,071.60
  4. Step 4: Simplify right side
    221,912.40x = 44,269,488,072.72
  5. Step 5: Solve for x
    x = 44,269,488,072.72/221,912.40
  6. Step 6: Final answer
    x = 199,490.83

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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.