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Finding the Fourth Proportional to 164,645.73, 227,221.61 and 100,974.87

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Solution

The fourth proportional to 164,645.73, 227,221.61 and 100,974.87 is: 139,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,645.73 : 227,221.61 = 100,974.87 : x
  2. Step 2: Convert to fraction form
    164,645.73/227,221.61 = 100,974.87/x
  3. Step 3: Cross multiply
    164,645.73x = 227,221.61 × 100,974.87
  4. Step 4: Simplify right side
    164,645.73x = 22,943,672,026.07
  5. Step 5: Solve for x
    x = 22,943,672,026.07/164,645.73
  6. Step 6: Final answer
    x = 139,351.76

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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.