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Finding the Fourth Proportional to 206,158.25, 309,274.29 and 106,291.64

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Solution

The fourth proportional to 206,158.25, 309,274.29 and 106,291.64 is: 159,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,158.25 : 309,274.29 = 106,291.64 : x
  2. Step 2: Convert to fraction form
    206,158.25/309,274.29 = 106,291.64/x
  3. Step 3: Cross multiply
    206,158.25x = 309,274.29 × 106,291.64
  4. Step 4: Simplify right side
    206,158.25x = 32,873,271,493.94
  5. Step 5: Solve for x
    x = 32,873,271,493.94/206,158.25
  6. Step 6: Final answer
    x = 159,456.49

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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.