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Finding the Fourth Proportional to 206,652.18, 309,682.26 and 117,722.08

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Solution

The fourth proportional to 206,652.18, 309,682.26 and 117,722.08 is: 176,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,652.18 : 309,682.26 = 117,722.08 : x
  2. Step 2: Convert to fraction form
    206,652.18/309,682.26 = 117,722.08/x
  3. Step 3: Cross multiply
    206,652.18x = 309,682.26 × 117,722.08
  4. Step 4: Simplify right side
    206,652.18x = 36,456,439,786.30
  5. Step 5: Solve for x
    x = 36,456,439,786.30/206,652.18
  6. Step 6: Final answer
    x = 176,414.49

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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.