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Finding the Fourth Proportional to 164,043.72, 226,371.96 and 92,427.98

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Solution

The fourth proportional to 164,043.72, 226,371.96 and 92,427.98 is: 127,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,043.72 : 226,371.96 = 92,427.98 : x
  2. Step 2: Convert to fraction form
    164,043.72/226,371.96 = 92,427.98/x
  3. Step 3: Cross multiply
    164,043.72x = 226,371.96 × 92,427.98
  4. Step 4: Simplify right side
    164,043.72x = 20,923,101,859.58
  5. Step 5: Solve for x
    x = 20,923,101,859.58/164,043.72
  6. Step 6: Final answer
    x = 127,545.89

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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.