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Finding the Fourth Proportional to 164,198.66, 226,594.47 and 92,578.52

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Solution

The fourth proportional to 164,198.66, 226,594.47 and 92,578.52 is: 127,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,198.66 : 226,594.47 = 92,578.52 : x
  2. Step 2: Convert to fraction form
    164,198.66/226,594.47 = 92,578.52/x
  3. Step 3: Cross multiply
    164,198.66x = 226,594.47 × 92,578.52
  4. Step 4: Simplify right side
    164,198.66x = 20,977,780,672.78
  5. Step 5: Solve for x
    x = 20,977,780,672.78/164,198.66
  6. Step 6: Final answer
    x = 127,758.54

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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.