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Finding the Fourth Proportional to 206,539.14, 285,205.77 and 129,147.42

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Solution

The fourth proportional to 206,539.14, 285,205.77 and 129,147.42 is: 178,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,539.14 : 285,205.77 = 129,147.42 : x
  2. Step 2: Convert to fraction form
    206,539.14/285,205.77 = 129,147.42/x
  3. Step 3: Cross multiply
    206,539.14x = 285,205.77 × 129,147.42
  4. Step 4: Simplify right side
    206,539.14x = 36,833,588,718.88
  5. Step 5: Solve for x
    x = 36,833,588,718.88/206,539.14
  6. Step 6: Final answer
    x = 178,337.09

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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.