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Finding the Fourth Proportional to 276,806.69, 381,993.23 and 149,482.28

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Solution

The fourth proportional to 276,806.69, 381,993.23 and 149,482.28 is: 206,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,806.69 : 381,993.23 = 149,482.28 : x
  2. Step 2: Convert to fraction form
    276,806.69/381,993.23 = 149,482.28/x
  3. Step 3: Cross multiply
    276,806.69x = 381,993.23 × 149,482.28
  4. Step 4: Simplify right side
    276,806.69x = 57,101,220,293.65
  5. Step 5: Solve for x
    x = 57,101,220,293.65/276,806.69
  6. Step 6: Final answer
    x = 206,285.55

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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.