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Finding the Fourth Proportional to 206,171.84, 309,376.68 and 111,402.26

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Solution

The fourth proportional to 206,171.84, 309,376.68 and 111,402.26 is: 167,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,171.84 : 309,376.68 = 111,402.26 : x
  2. Step 2: Convert to fraction form
    206,171.84/309,376.68 = 111,402.26/x
  3. Step 3: Cross multiply
    206,171.84x = 309,376.68 × 111,402.26
  4. Step 4: Simplify right side
    206,171.84x = 34,465,261,343.30
  5. Step 5: Solve for x
    x = 34,465,261,343.30/206,171.84
  6. Step 6: Final answer
    x = 167,167.65

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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.