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Finding the Fourth Proportional to 164,072.70, 226,425.03 and 92,448.78

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Solution

The fourth proportional to 164,072.70, 226,425.03 and 92,448.78 is: 127,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,072.70 : 226,425.03 = 92,448.78 : x
  2. Step 2: Convert to fraction form
    164,072.70/226,425.03 = 92,448.78/x
  3. Step 3: Cross multiply
    164,072.70x = 226,425.03 × 92,448.78
  4. Step 4: Simplify right side
    164,072.70x = 20,932,717,784.96
  5. Step 5: Solve for x
    x = 20,932,717,784.96/164,072.70
  6. Step 6: Final answer
    x = 127,581.97

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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.