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Finding the Fourth Proportional to 195,709.99, 270,079.77 and 110,843.46

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Solution

The fourth proportional to 195,709.99, 270,079.77 and 110,843.46 is: 152,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,709.99 : 270,079.77 = 110,843.46 : x
  2. Step 2: Convert to fraction form
    195,709.99/270,079.77 = 110,843.46/x
  3. Step 3: Cross multiply
    195,709.99x = 270,079.77 × 110,843.46
  4. Step 4: Simplify right side
    195,709.99x = 29,936,576,182.80
  5. Step 5: Solve for x
    x = 29,936,576,182.80/195,709.99
  6. Step 6: Final answer
    x = 152,963.97

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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.