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Finding the Fourth Proportional to 206,829.53, 285,393.66 and 116,168.12

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Solution

The fourth proportional to 206,829.53, 285,393.66 and 116,168.12 is: 160,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,829.53 : 285,393.66 = 116,168.12 : x
  2. Step 2: Convert to fraction form
    206,829.53/285,393.66 = 116,168.12/x
  3. Step 3: Cross multiply
    206,829.53x = 285,393.66 × 116,168.12
  4. Step 4: Simplify right side
    206,829.53x = 33,153,644,942.12
  5. Step 5: Solve for x
    x = 33,153,644,942.12/206,829.53
  6. Step 6: Final answer
    x = 160,294.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.