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Finding the Fourth Proportional to 276,124.24, 414,137.76 and 73,722.86

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Solution

The fourth proportional to 276,124.24, 414,137.76 and 73,722.86 is: 110,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,124.24 : 414,137.76 = 73,722.86 : x
  2. Step 2: Convert to fraction form
    276,124.24/414,137.76 = 73,722.86/x
  3. Step 3: Cross multiply
    276,124.24x = 414,137.76 × 73,722.86
  4. Step 4: Simplify right side
    276,124.24x = 30,531,419,721.75
  5. Step 5: Solve for x
    x = 30,531,419,721.75/276,124.24
  6. Step 6: Final answer
    x = 110,571.31

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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.