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Finding the Fourth Proportional to 214,993.80, 296,691.39 and 119,500.65

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Solution

The fourth proportional to 214,993.80, 296,691.39 and 119,500.65 is: 164,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,993.80 : 296,691.39 = 119,500.65 : x
  2. Step 2: Convert to fraction form
    214,993.80/296,691.39 = 119,500.65/x
  3. Step 3: Cross multiply
    214,993.80x = 296,691.39 × 119,500.65
  4. Step 4: Simplify right side
    214,993.80x = 35,454,813,954.40
  5. Step 5: Solve for x
    x = 35,454,813,954.40/214,993.80
  6. Step 6: Final answer
    x = 164,910.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.