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Finding the Fourth Proportional to 206,049.84, 309,119.17 and 63,892.26

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Solution

The fourth proportional to 206,049.84, 309,119.17 and 63,892.26 is: 95,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,049.84 : 309,119.17 = 63,892.26 : x
  2. Step 2: Convert to fraction form
    206,049.84/309,119.17 = 63,892.26/x
  3. Step 3: Cross multiply
    206,049.84x = 309,119.17 × 63,892.26
  4. Step 4: Simplify right side
    206,049.84x = 19,750,320,515.57
  5. Step 5: Solve for x
    x = 19,750,320,515.57/206,049.84
  6. Step 6: Final answer
    x = 95,852.15

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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.