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Finding the Fourth Proportional to 100,206.66, 150,323.83 and 33,665.82

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Solution

The fourth proportional to 100,206.66, 150,323.83 and 33,665.82 is: 50,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,206.66 : 150,323.83 = 33,665.82 : x
  2. Step 2: Convert to fraction form
    100,206.66/150,323.83 = 33,665.82/x
  3. Step 3: Cross multiply
    100,206.66x = 150,323.83 × 33,665.82
  4. Step 4: Simplify right side
    100,206.66x = 5,060,774,082.54
  5. Step 5: Solve for x
    x = 5,060,774,082.54/100,206.66
  6. Step 6: Final answer
    x = 50,503.37

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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.