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Finding the Fourth Proportional to 200,666.43, 300,996.20 and 67,546.68

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Solution

The fourth proportional to 200,666.43, 300,996.20 and 67,546.68 is: 101,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,666.43 : 300,996.20 = 67,546.68 : x
  2. Step 2: Convert to fraction form
    200,666.43/300,996.20 = 67,546.68/x
  3. Step 3: Cross multiply
    200,666.43x = 300,996.20 × 67,546.68
  4. Step 4: Simplify right side
    200,666.43x = 20,331,293,042.75
  5. Step 5: Solve for x
    x = 20,331,293,042.75/200,666.43
  6. Step 6: Final answer
    x = 101,318.86

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1.5x scale

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.