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Finding the Fourth Proportional to 206,804.52, 285,317.55 and 135,226.44

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Solution

The fourth proportional to 206,804.52, 285,317.55 and 135,226.44 is: 186,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,804.52 : 285,317.55 = 135,226.44 : x
  2. Step 2: Convert to fraction form
    206,804.52/285,317.55 = 135,226.44/x
  3. Step 3: Cross multiply
    206,804.52x = 285,317.55 × 135,226.44
  4. Step 4: Simplify right side
    206,804.52x = 38,582,476,556.02
  5. Step 5: Solve for x
    x = 38,582,476,556.02/206,804.52
  6. Step 6: Final answer
    x = 186,564.96

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Why These Related Problems?

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