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Finding the Fourth Proportional to 100,206.91, 150,324.20 and 33,666.07

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Solution

The fourth proportional to 100,206.91, 150,324.20 and 33,666.07 is: 50,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206.91 : 150,324.20 = 33,666.07 : x
  2. Step 2: Convert to fraction form
    100,206.91/150,324.20 = 33,666.07/x
  3. Step 3: Cross multiply
    100,206.91x = 150,324.20 × 33,666.07
  4. Step 4: Simplify right side
    100,206.91x = 5,060,824,288.27
  5. Step 5: Solve for x
    x = 5,060,824,288.27/100,206.91
  6. Step 6: Final answer
    x = 50,503.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.