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Finding the Fourth Proportional to 206,364.45, 309,574.22 and 81,676.29

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Solution

The fourth proportional to 206,364.45, 309,574.22 and 81,676.29 is: 122,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,364.45 : 309,574.22 = 81,676.29 : x
  2. Step 2: Convert to fraction form
    206,364.45/309,574.22 = 81,676.29/x
  3. Step 3: Cross multiply
    206,364.45x = 309,574.22 × 81,676.29
  4. Step 4: Simplify right side
    206,364.45x = 25,284,873,360.86
  5. Step 5: Solve for x
    x = 25,284,873,360.86/206,364.45
  6. Step 6: Final answer
    x = 122,525.33

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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.