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Finding the Fourth Proportional to 206,532.64, 309,729.84 and 66,257.92

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Solution

The fourth proportional to 206,532.64, 309,729.84 and 66,257.92 is: 99,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,532.64 : 309,729.84 = 66,257.92 : x
  2. Step 2: Convert to fraction form
    206,532.64/309,729.84 = 66,257.92/x
  3. Step 3: Cross multiply
    206,532.64x = 309,729.84 × 66,257.92
  4. Step 4: Simplify right side
    206,532.64x = 20,522,054,960.33
  5. Step 5: Solve for x
    x = 20,522,054,960.33/206,532.64
  6. Step 6: Final answer
    x = 99,364.71

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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.