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Finding the Fourth Proportional to 221,944.80, 332,917.20 and 97,528.80

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Solution

The fourth proportional to 221,944.80, 332,917.20 and 97,528.80 is: 146,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,944.80 : 332,917.20 = 97,528.80 : x
  2. Step 2: Convert to fraction form
    221,944.80/332,917.20 = 97,528.80/x
  3. Step 3: Cross multiply
    221,944.80x = 332,917.20 × 97,528.80
  4. Step 4: Simplify right side
    221,944.80x = 32,469,015,015.36
  5. Step 5: Solve for x
    x = 32,469,015,015.36/221,944.80
  6. Step 6: Final answer
    x = 146,293.20

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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.