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Finding the Fourth Proportional to 206,827.10, 288,967.44 and 206,827.10

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Solution

The fourth proportional to 206,827.10, 288,967.44 and 206,827.10 is: 288,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,827.10 : 288,967.44 = 206,827.10 : x
  2. Step 2: Convert to fraction form
    206,827.10/288,967.44 = 206,827.10/x
  3. Step 3: Cross multiply
    206,827.10x = 288,967.44 × 206,827.10
  4. Step 4: Simplify right side
    206,827.10x = 59,766,297,609.62
  5. Step 5: Solve for x
    x = 59,766,297,609.62/206,827.10
  6. Step 6: Final answer
    x = 288,967.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.