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Finding the Fourth Proportional to 206,594.94, 285,089.04 and 115,942.44

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Solution

The fourth proportional to 206,594.94, 285,089.04 and 115,942.44 is: 159,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,594.94 : 285,089.04 = 115,942.44 : x
  2. Step 2: Convert to fraction form
    206,594.94/285,089.04 = 115,942.44/x
  3. Step 3: Cross multiply
    206,594.94x = 285,089.04 × 115,942.44
  4. Step 4: Simplify right side
    206,594.94x = 33,053,918,914.86
  5. Step 5: Solve for x
    x = 33,053,918,914.86/206,594.94
  6. Step 6: Final answer
    x = 159,993.85

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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.