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Finding the Fourth Proportional to 174,198.82, 261,324.21 and 61,869.61

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Solution

The fourth proportional to 174,198.82, 261,324.21 and 61,869.61 is: 92,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,198.82 : 261,324.21 = 61,869.61 : x
  2. Step 2: Convert to fraction form
    174,198.82/261,324.21 = 61,869.61/x
  3. Step 3: Cross multiply
    174,198.82x = 261,324.21 × 61,869.61
  4. Step 4: Simplify right side
    174,198.82x = 16,168,026,956.26
  5. Step 5: Solve for x
    x = 16,168,026,956.26/174,198.82
  6. Step 6: Final answer
    x = 92,813.64

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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.