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Finding the Fourth Proportional to 164,563.81, 227,102.54 and 92,954.48

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Solution

The fourth proportional to 164,563.81, 227,102.54 and 92,954.48 is: 128,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,563.81 : 227,102.54 = 92,954.48 : x
  2. Step 2: Convert to fraction form
    164,563.81/227,102.54 = 92,954.48/x
  3. Step 3: Cross multiply
    164,563.81x = 227,102.54 × 92,954.48
  4. Step 4: Simplify right side
    164,563.81x = 21,110,196,912.09
  5. Step 5: Solve for x
    x = 21,110,196,912.09/164,563.81
  6. Step 6: Final answer
    x = 128,279.71

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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.