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Finding the Fourth Proportional to 179,722.80, 269,584.20 and 144,730.80

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Solution

The fourth proportional to 179,722.80, 269,584.20 and 144,730.80 is: 217,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,722.80 : 269,584.20 = 144,730.80 : x
  2. Step 2: Convert to fraction form
    179,722.80/269,584.20 = 144,730.80/x
  3. Step 3: Cross multiply
    179,722.80x = 269,584.20 × 144,730.80
  4. Step 4: Simplify right side
    179,722.80x = 39,017,136,933.36
  5. Step 5: Solve for x
    x = 39,017,136,933.36/179,722.80
  6. Step 6: Final answer
    x = 217,096.20

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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.