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Finding the Fourth Proportional to 206,514.18, 309,771.29 and 73,399.69

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Solution

The fourth proportional to 206,514.18, 309,771.29 and 73,399.69 is: 110,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,514.18 : 309,771.29 = 73,399.69 : x
  2. Step 2: Convert to fraction form
    206,514.18/309,771.29 = 73,399.69/x
  3. Step 3: Cross multiply
    206,514.18x = 309,771.29 × 73,399.69
  4. Step 4: Simplify right side
    206,514.18x = 22,737,116,656.90
  5. Step 5: Solve for x
    x = 22,737,116,656.90/206,514.18
  6. Step 6: Final answer
    x = 110,099.54

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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.