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Finding the Fourth Proportional to 100,231.57, 150,364.73 and 33,678.19

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Solution

The fourth proportional to 100,231.57, 150,364.73 and 33,678.19 is: 50,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,231.57 : 150,364.73 = 33,678.19 : x
  2. Step 2: Convert to fraction form
    100,231.57/150,364.73 = 33,678.19/x
  3. Step 3: Cross multiply
    100,231.57x = 150,364.73 × 33,678.19
  4. Step 4: Simplify right side
    100,231.57x = 5,064,011,946.24
  5. Step 5: Solve for x
    x = 5,064,011,946.24/100,231.57
  6. Step 6: Final answer
    x = 50,523.12

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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.