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Finding the Fourth Proportional to 339,098.22, 467,956.83 and 188,195.22

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Solution

The fourth proportional to 339,098.22, 467,956.83 and 188,195.22 is: 259,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,098.22 : 467,956.83 = 188,195.22 : x
  2. Step 2: Convert to fraction form
    339,098.22/467,956.83 = 188,195.22/x
  3. Step 3: Cross multiply
    339,098.22x = 467,956.83 × 188,195.22
  4. Step 4: Simplify right side
    339,098.22x = 88,067,238,572.35
  5. Step 5: Solve for x
    x = 88,067,238,572.35/339,098.22
  6. Step 6: Final answer
    x = 259,710.12

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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.