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Finding the Fourth Proportional to 164,221.28, 226,625.43 and 88,769.78

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Solution

The fourth proportional to 164,221.28, 226,625.43 and 88,769.78 is: 122,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,221.28 : 226,625.43 = 88,769.78 : x
  2. Step 2: Convert to fraction form
    164,221.28/226,625.43 = 88,769.78/x
  3. Step 3: Cross multiply
    164,221.28x = 226,625.43 × 88,769.78
  4. Step 4: Simplify right side
    164,221.28x = 20,117,489,563.51
  5. Step 5: Solve for x
    x = 20,117,489,563.51/164,221.28
  6. Step 6: Final answer
    x = 122,502.33

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1.5x scale

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.