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Finding the Fourth Proportional to 164,523.69, 227,029.77 and 92,910.78

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Solution

The fourth proportional to 164,523.69, 227,029.77 and 92,910.78 is: 128,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,523.69 : 227,029.77 = 92,910.78 : x
  2. Step 2: Convert to fraction form
    164,523.69/227,029.77 = 92,910.78/x
  3. Step 3: Cross multiply
    164,523.69x = 227,029.77 × 92,910.78
  4. Step 4: Simplify right side
    164,523.69x = 21,093,513,013.92
  5. Step 5: Solve for x
    x = 21,093,513,013.92/164,523.69
  6. Step 6: Final answer
    x = 128,209.58

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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.