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Finding the Fourth Proportional to 276,124.96, 414,138.84 and 73,723.58

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Solution

The fourth proportional to 276,124.96, 414,138.84 and 73,723.58 is: 110,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,124.96 : 414,138.84 = 73,723.58 : x
  2. Step 2: Convert to fraction form
    276,124.96/414,138.84 = 73,723.58/x
  3. Step 3: Cross multiply
    276,124.96x = 414,138.84 × 73,723.58
  4. Step 4: Simplify right side
    276,124.96x = 30,531,797,901.85
  5. Step 5: Solve for x
    x = 30,531,797,901.85/276,124.96
  6. Step 6: Final answer
    x = 110,572.39

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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.