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Finding the Fourth Proportional to 206,133.96, 309,220.38 and 65,859.24

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Solution

The fourth proportional to 206,133.96, 309,220.38 and 65,859.24 is: 98,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,133.96 : 309,220.38 = 65,859.24 : x
  2. Step 2: Convert to fraction form
    206,133.96/309,220.38 = 65,859.24/x
  3. Step 3: Cross multiply
    206,133.96x = 309,220.38 × 65,859.24
  4. Step 4: Simplify right side
    206,133.96x = 20,365,019,219.31
  5. Step 5: Solve for x
    x = 20,365,019,219.31/206,133.96
  6. Step 6: Final answer
    x = 98,795.07

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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.