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Finding the Fourth Proportional to 163,694.86, 225,926.72 and 120,896.69

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Solution

The fourth proportional to 163,694.86, 225,926.72 and 120,896.69 is: 166,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,694.86 : 225,926.72 = 120,896.69 : x
  2. Step 2: Convert to fraction form
    163,694.86/225,926.72 = 120,896.69/x
  3. Step 3: Cross multiply
    163,694.86x = 225,926.72 × 120,896.69
  4. Step 4: Simplify right side
    163,694.86x = 27,313,791,349.80
  5. Step 5: Solve for x
    x = 27,313,791,349.80/163,694.86
  6. Step 6: Final answer
    x = 166,857.97

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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.