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Finding the Fourth Proportional to 202,944.16, 280,141.44 and 181,686.48

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Solution

The fourth proportional to 202,944.16, 280,141.44 and 181,686.48 is: 250,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,944.16 : 280,141.44 = 181,686.48 : x
  2. Step 2: Convert to fraction form
    202,944.16/280,141.44 = 181,686.48/x
  3. Step 3: Cross multiply
    202,944.16x = 280,141.44 × 181,686.48
  4. Step 4: Simplify right side
    202,944.16x = 50,897,912,135.73
  5. Step 5: Solve for x
    x = 50,897,912,135.73/202,944.16
  6. Step 6: Final answer
    x = 250,797.62

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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.