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Finding the Fourth Proportional to 200,504.46, 300,771.45 and 67,383.75

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Solution

The fourth proportional to 200,504.46, 300,771.45 and 67,383.75 is: 101,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,504.46 : 300,771.45 = 67,383.75 : x
  2. Step 2: Convert to fraction form
    200,504.46/300,771.45 = 67,383.75/x
  3. Step 3: Cross multiply
    200,504.46x = 300,771.45 × 67,383.75
  4. Step 4: Simplify right side
    200,504.46x = 20,267,108,193.94
  5. Step 5: Solve for x
    x = 20,267,108,193.94/200,504.46
  6. Step 6: Final answer
    x = 101,080.59

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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.