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Finding the Fourth Proportional to 167,831.84, 251,571.44 and 84,551.20

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Solution

The fourth proportional to 167,831.84, 251,571.44 and 84,551.20 is: 126,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,831.84 : 251,571.44 = 84,551.20 : x
  2. Step 2: Convert to fraction form
    167,831.84/251,571.44 = 84,551.20/x
  3. Step 3: Cross multiply
    167,831.84x = 251,571.44 × 84,551.20
  4. Step 4: Simplify right side
    167,831.84x = 21,270,667,137.73
  5. Step 5: Solve for x
    x = 21,270,667,137.73/167,831.84
  6. Step 6: Final answer
    x = 126,737.97

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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.