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Finding the Fourth Proportional to 221,786.70, 332,242.65 and 132,775.80

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Solution

The fourth proportional to 221,786.70, 332,242.65 and 132,775.80 is: 198,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,786.70 : 332,242.65 = 132,775.80 : x
  2. Step 2: Convert to fraction form
    221,786.70/332,242.65 = 132,775.80/x
  3. Step 3: Cross multiply
    221,786.70x = 332,242.65 × 132,775.80
  4. Step 4: Simplify right side
    221,786.70x = 44,113,783,647.87
  5. Step 5: Solve for x
    x = 44,113,783,647.87/221,786.70
  6. Step 6: Final answer
    x = 198,901.84

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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.