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Finding the Fourth Proportional to 200,204.42, 300,306.65 and 67,084.97

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Solution

The fourth proportional to 200,204.42, 300,306.65 and 67,084.97 is: 100,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,204.42 : 300,306.65 = 67,084.97 : x
  2. Step 2: Convert to fraction form
    200,204.42/300,306.65 = 67,084.97/x
  3. Step 3: Cross multiply
    200,204.42x = 300,306.65 × 67,084.97
  4. Step 4: Simplify right side
    200,204.42x = 20,146,060,769.09
  5. Step 5: Solve for x
    x = 20,146,060,769.09/200,204.42
  6. Step 6: Final answer
    x = 100,627.46

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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.