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Finding the Fourth Proportional to 206,239.41, 309,353.45 and 65,996.01

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Solution

The fourth proportional to 206,239.41, 309,353.45 and 65,996.01 is: 98,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,239.41 : 309,353.45 = 65,996.01 : x
  2. Step 2: Convert to fraction form
    206,239.41/309,353.45 = 65,996.01/x
  3. Step 3: Cross multiply
    206,239.41x = 309,353.45 × 65,996.01
  4. Step 4: Simplify right side
    206,239.41x = 20,416,093,049.75
  5. Step 5: Solve for x
    x = 20,416,093,049.75/206,239.41
  6. Step 6: Final answer
    x = 98,992.20

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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.