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Finding the Fourth Proportional to 206,599.40, 309,315.90 and 200,767.40

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Solution

The fourth proportional to 206,599.40, 309,315.90 and 200,767.40 is: 300,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,599.40 : 309,315.90 = 200,767.40 : x
  2. Step 2: Convert to fraction form
    206,599.40/309,315.90 = 200,767.40/x
  3. Step 3: Cross multiply
    206,599.40x = 309,315.90 × 200,767.40
  4. Step 4: Simplify right side
    206,599.40x = 62,100,549,021.66
  5. Step 5: Solve for x
    x = 62,100,549,021.66/206,599.40
  6. Step 6: Final answer
    x = 300,584.36

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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.