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Finding the Fourth Proportional to 221,675.20, 332,512.80 and 133,028.80

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Solution

The fourth proportional to 221,675.20, 332,512.80 and 133,028.80 is: 199,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,675.20 : 332,512.80 = 133,028.80 : x
  2. Step 2: Convert to fraction form
    221,675.20/332,512.80 = 133,028.80/x
  3. Step 3: Cross multiply
    221,675.20x = 332,512.80 × 133,028.80
  4. Step 4: Simplify right side
    221,675.20x = 44,233,778,768.64
  5. Step 5: Solve for x
    x = 44,233,778,768.64/221,675.20
  6. Step 6: Final answer
    x = 199,543.20

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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.