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Finding the Fourth Proportional to 221,731.41, 332,679.76 and 133,048.56

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Solution

The fourth proportional to 221,731.41, 332,679.76 and 133,048.56 is: 199,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,731.41 : 332,679.76 = 133,048.56 : x
  2. Step 2: Convert to fraction form
    221,731.41/332,679.76 = 133,048.56/x
  3. Step 3: Cross multiply
    221,731.41x = 332,679.76 × 133,048.56
  4. Step 4: Simplify right side
    221,731.41x = 44,262,562,676.52
  5. Step 5: Solve for x
    x = 44,262,562,676.52/221,731.41
  6. Step 6: Final answer
    x = 199,622.43

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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.