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Finding the Fourth Proportional to 208,841.34, 313,262.01 and 51,067.92

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Solution

The fourth proportional to 208,841.34, 313,262.01 and 51,067.92 is: 76,601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,841.34 : 313,262.01 = 51,067.92 : x
  2. Step 2: Convert to fraction form
    208,841.34/313,262.01 = 51,067.92/x
  3. Step 3: Cross multiply
    208,841.34x = 313,262.01 × 51,067.92
  4. Step 4: Simplify right side
    208,841.34x = 15,997,639,265.72
  5. Step 5: Solve for x
    x = 15,997,639,265.72/208,841.34
  6. Step 6: Final answer
    x = 76,601.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.