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Finding the Fourth Proportional to 164,821.44, 227,453.72 and 89,369.94

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Solution

The fourth proportional to 164,821.44, 227,453.72 and 89,369.94 is: 123,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,821.44 : 227,453.72 = 89,369.94 : x
  2. Step 2: Convert to fraction form
    164,821.44/227,453.72 = 89,369.94/x
  3. Step 3: Cross multiply
    164,821.44x = 227,453.72 × 89,369.94
  4. Step 4: Simplify right side
    164,821.44x = 20,327,524,862.33
  5. Step 5: Solve for x
    x = 20,327,524,862.33/164,821.44
  6. Step 6: Final answer
    x = 123,330.59

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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.