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Finding the Fourth Proportional to 100,298.20, 150,454.73 and 33,738.07

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Solution

The fourth proportional to 100,298.20, 150,454.73 and 33,738.07 is: 50,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298.20 : 150,454.73 = 33,738.07 : x
  2. Step 2: Convert to fraction form
    100,298.20/150,454.73 = 33,738.07/x
  3. Step 3: Cross multiply
    100,298.20x = 150,454.73 × 33,738.07
  4. Step 4: Simplify right side
    100,298.20x = 5,076,052,212.57
  5. Step 5: Solve for x
    x = 5,076,052,212.57/100,298.20
  6. Step 6: Final answer
    x = 50,609.60

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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.