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Finding the Fourth Proportional to 164,389.38, 226,857.42 and 90,801.96

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Solution

The fourth proportional to 164,389.38, 226,857.42 and 90,801.96 is: 125,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,389.38 : 226,857.42 = 90,801.96 : x
  2. Step 2: Convert to fraction form
    164,389.38/226,857.42 = 90,801.96/x
  3. Step 3: Cross multiply
    164,389.38x = 226,857.42 × 90,801.96
  4. Step 4: Simplify right side
    164,389.38x = 20,599,098,376.54
  5. Step 5: Solve for x
    x = 20,599,098,376.54/164,389.38
  6. Step 6: Final answer
    x = 125,306.75

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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.