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Finding the Fourth Proportional to 161,722.80, 242,584.20 and 144,226.80

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Solution

The fourth proportional to 161,722.80, 242,584.20 and 144,226.80 is: 216,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,722.80 : 242,584.20 = 144,226.80 : x
  2. Step 2: Convert to fraction form
    161,722.80/242,584.20 = 144,226.80/x
  3. Step 3: Cross multiply
    161,722.80x = 242,584.20 × 144,226.80
  4. Step 4: Simplify right side
    161,722.80x = 34,987,142,896.56
  5. Step 5: Solve for x
    x = 34,987,142,896.56/161,722.80
  6. Step 6: Final answer
    x = 216,340.20

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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.