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Finding the Fourth Proportional to 200,409.36, 300,618.90 and 67,293.96

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Solution

The fourth proportional to 200,409.36, 300,618.90 and 67,293.96 is: 100,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,409.36 : 300,618.90 = 67,293.96 : x
  2. Step 2: Convert to fraction form
    200,409.36/300,618.90 = 67,293.96/x
  3. Step 3: Cross multiply
    200,409.36x = 300,618.90 × 67,293.96
  4. Step 4: Simplify right side
    200,409.36x = 20,229,836,231.84
  5. Step 5: Solve for x
    x = 20,229,836,231.84/200,409.36
  6. Step 6: Final answer
    x = 100,942.57

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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.