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Finding the Fourth Proportional to 206,082.40, 309,123.60 and 200,250.40

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Solution

The fourth proportional to 206,082.40, 309,123.60 and 200,250.40 is: 300,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,082.40 : 309,123.60 = 200,250.40 : x
  2. Step 2: Convert to fraction form
    206,082.40/309,123.60 = 200,250.40/x
  3. Step 3: Cross multiply
    206,082.40x = 309,123.60 × 200,250.40
  4. Step 4: Simplify right side
    206,082.40x = 61,902,124,549.44
  5. Step 5: Solve for x
    x = 61,902,124,549.44/206,082.40
  6. Step 6: Final answer
    x = 300,375.60

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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.