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Finding the Fourth Proportional to 206,514.30, 309,771.45 and 112,035.90

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Solution

The fourth proportional to 206,514.30, 309,771.45 and 112,035.90 is: 168,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,514.30 : 309,771.45 = 112,035.90 : x
  2. Step 2: Convert to fraction form
    206,514.30/309,771.45 = 112,035.90/x
  3. Step 3: Cross multiply
    206,514.30x = 309,771.45 × 112,035.90
  4. Step 4: Simplify right side
    206,514.30x = 34,705,523,195.06
  5. Step 5: Solve for x
    x = 34,705,523,195.06/206,514.30
  6. Step 6: Final answer
    x = 168,053.85

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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.