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Finding the Fourth Proportional to 276,211.22, 414,648.72 and 187,194.65

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Solution

The fourth proportional to 276,211.22, 414,648.72 and 187,194.65 is: 281,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,211.22 : 414,648.72 = 187,194.65 : x
  2. Step 2: Convert to fraction form
    276,211.22/414,648.72 = 187,194.65/x
  3. Step 3: Cross multiply
    276,211.22x = 414,648.72 × 187,194.65
  4. Step 4: Simplify right side
    276,211.22x = 77,620,019,940.10
  5. Step 5: Solve for x
    x = 77,620,019,940.10/276,211.22
  6. Step 6: Final answer
    x = 281,016.90

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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.