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Finding the Fourth Proportional to 117,698.97, 176,224.95 and 82,195.77

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Solution

The fourth proportional to 117,698.97, 176,224.95 and 82,195.77 is: 123,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,698.97 : 176,224.95 = 82,195.77 : x
  2. Step 2: Convert to fraction form
    117,698.97/176,224.95 = 82,195.77/x
  3. Step 3: Cross multiply
    117,698.97x = 176,224.95 × 82,195.77
  4. Step 4: Simplify right side
    117,698.97x = 14,484,945,458.46
  5. Step 5: Solve for x
    x = 14,484,945,458.46/117,698.97
  6. Step 6: Final answer
    x = 123,067.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.