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Finding the Fourth Proportional to 164,236.28, 226,645.97 and 88,784.78

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Solution

The fourth proportional to 164,236.28, 226,645.97 and 88,784.78 is: 122,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,236.28 : 226,645.97 = 88,784.78 : x
  2. Step 2: Convert to fraction form
    164,236.28/226,645.97 = 88,784.78/x
  3. Step 3: Cross multiply
    164,236.28x = 226,645.97 × 88,784.78
  4. Step 4: Simplify right side
    164,236.28x = 20,122,711,007.18
  5. Step 5: Solve for x
    x = 20,122,711,007.18/164,236.28
  6. Step 6: Final answer
    x = 122,522.94

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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.