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Finding the Fourth Proportional to 332,811, 499,216.50 and 111,195

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Solution

The fourth proportional to 332,811, 499,216.50 and 111,195 is: 166,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,811 : 499,216.50 = 111,195 : x
  2. Step 2: Convert to fraction form
    332,811/499,216.50 = 111,195/x
  3. Step 3: Cross multiply
    332,811x = 499,216.50 × 111,195
  4. Step 4: Simplify right side
    332,811x = 55,510,378,717.50
  5. Step 5: Solve for x
    x = 55,510,378,717.50/332,811
  6. Step 6: Final answer
    x = 166,792.50

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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.