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Finding the Fourth Proportional to 159,727.86, 239,388.24 and 84,883.86

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Solution

The fourth proportional to 159,727.86, 239,388.24 and 84,883.86 is: 127,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,727.86 : 239,388.24 = 84,883.86 : x
  2. Step 2: Convert to fraction form
    159,727.86/239,388.24 = 84,883.86/x
  3. Step 3: Cross multiply
    159,727.86x = 239,388.24 × 84,883.86
  4. Step 4: Simplify right side
    159,727.86x = 20,320,197,849.81
  5. Step 5: Solve for x
    x = 20,320,197,849.81/159,727.86
  6. Step 6: Final answer
    x = 127,217.62

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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.