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Finding the Fourth Proportional to 181,964.72, 273,100.44 and 76,859.12

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Solution

The fourth proportional to 181,964.72, 273,100.44 and 76,859.12 is: 115,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,964.72 : 273,100.44 = 76,859.12 : x
  2. Step 2: Convert to fraction form
    181,964.72/273,100.44 = 76,859.12/x
  3. Step 3: Cross multiply
    181,964.72x = 273,100.44 × 76,859.12
  4. Step 4: Simplify right side
    181,964.72x = 20,990,259,490.01
  5. Step 5: Solve for x
    x = 20,990,259,490.01/181,964.72
  6. Step 6: Final answer
    x = 115,353.46

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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.