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Finding the Fourth Proportional to 322,891.80, 484,380.02 and 106,678.70

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Solution

The fourth proportional to 322,891.80, 484,380.02 and 106,678.70 is: 160,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,891.80 : 484,380.02 = 106,678.70 : x
  2. Step 2: Convert to fraction form
    322,891.80/484,380.02 = 106,678.70/x
  3. Step 3: Cross multiply
    322,891.80x = 484,380.02 × 106,678.70
  4. Step 4: Simplify right side
    322,891.80x = 51,673,030,839.57
  5. Step 5: Solve for x
    x = 51,673,030,839.57/322,891.80
  6. Step 6: Final answer
    x = 160,032.03

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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.