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Finding the Fourth Proportional to 206,578.20, 309,867.30 and 188,207.40

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Solution

The fourth proportional to 206,578.20, 309,867.30 and 188,207.40 is: 282,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,578.20 : 309,867.30 = 188,207.40 : x
  2. Step 2: Convert to fraction form
    206,578.20/309,867.30 = 188,207.40/x
  3. Step 3: Cross multiply
    206,578.20x = 309,867.30 × 188,207.40
  4. Step 4: Simplify right side
    206,578.20x = 58,319,318,878.02
  5. Step 5: Solve for x
    x = 58,319,318,878.02/206,578.20
  6. Step 6: Final answer
    x = 282,311.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.