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Finding the Fourth Proportional to 179,489.20, 269,233.80 and 144,497.20

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Solution

The fourth proportional to 179,489.20, 269,233.80 and 144,497.20 is: 216,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,489.20 : 269,233.80 = 144,497.20 : x
  2. Step 2: Convert to fraction form
    179,489.20/269,233.80 = 144,497.20/x
  3. Step 3: Cross multiply
    179,489.20x = 269,233.80 × 144,497.20
  4. Step 4: Simplify right side
    179,489.20x = 38,903,530,245.36
  5. Step 5: Solve for x
    x = 38,903,530,245.36/179,489.20
  6. Step 6: Final answer
    x = 216,745.80

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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.