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Finding the Fourth Proportional to 164,199.26, 226,594.91 and 88,747.76

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Solution

The fourth proportional to 164,199.26, 226,594.91 and 88,747.76 is: 122,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,199.26 : 226,594.91 = 88,747.76 : x
  2. Step 2: Convert to fraction form
    164,199.26/226,594.91 = 88,747.76/x
  3. Step 3: Cross multiply
    164,199.26x = 226,594.91 × 88,747.76
  4. Step 4: Simplify right side
    164,199.26x = 20,109,789,778.80
  5. Step 5: Solve for x
    x = 20,109,789,778.80/164,199.26
  6. Step 6: Final answer
    x = 122,471.87

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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.