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Finding the Fourth Proportional to 164,288, 226,717.52 and 88,836.48

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Solution

The fourth proportional to 164,288, 226,717.52 and 88,836.48 is: 122,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,288 : 226,717.52 = 88,836.48 : x
  2. Step 2: Convert to fraction form
    164,288/226,717.52 = 88,836.48/x
  3. Step 3: Cross multiply
    164,288x = 226,717.52 × 88,836.48
  4. Step 4: Simplify right side
    164,288x = 20,140,786,431.13
  5. Step 5: Solve for x
    x = 20,140,786,431.13/164,288
  6. Step 6: Final answer
    x = 122,594.39

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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.