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Finding the Fourth Proportional to 221,729.54, 332,676.94 and 133,046.69

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Solution

The fourth proportional to 221,729.54, 332,676.94 and 133,046.69 is: 199,619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,729.54 : 332,676.94 = 133,046.69 : x
  2. Step 2: Convert to fraction form
    221,729.54/332,676.94 = 133,046.69/x
  3. Step 3: Cross multiply
    221,729.54x = 332,676.94 × 133,046.69
  4. Step 4: Simplify right side
    221,729.54x = 44,261,563,710.33
  5. Step 5: Solve for x
    x = 44,261,563,710.33/221,729.54
  6. Step 6: Final answer
    x = 199,619.61

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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.