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Finding the Fourth Proportional to 204,002.70, 306,004.05 and 200,546.70

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Solution

The fourth proportional to 204,002.70, 306,004.05 and 200,546.70 is: 300,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,002.70 : 306,004.05 = 200,546.70 : x
  2. Step 2: Convert to fraction form
    204,002.70/306,004.05 = 200,546.70/x
  3. Step 3: Cross multiply
    204,002.70x = 306,004.05 × 200,546.70
  4. Step 4: Simplify right side
    204,002.70x = 61,368,102,414.14
  5. Step 5: Solve for x
    x = 61,368,102,414.14/204,002.70
  6. Step 6: Final answer
    x = 300,820.05

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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.