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Finding the Fourth Proportional to 199,633.96, 275,245.86 and 127,896.04

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Solution

The fourth proportional to 199,633.96, 275,245.86 and 127,896.04 is: 176,337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,633.96 : 275,245.86 = 127,896.04 : x
  2. Step 2: Convert to fraction form
    199,633.96/275,245.86 = 127,896.04/x
  3. Step 3: Cross multiply
    199,633.96x = 275,245.86 × 127,896.04
  4. Step 4: Simplify right side
    199,633.96x = 35,202,855,520.39
  5. Step 5: Solve for x
    x = 35,202,855,520.39/199,633.96
  6. Step 6: Final answer
    x = 176,337.01

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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.