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Finding the Fourth Proportional to 276,073.86, 414,119.99 and 76,377.52

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Solution

The fourth proportional to 276,073.86, 414,119.99 and 76,377.52 is: 114,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,073.86 : 414,119.99 = 76,377.52 : x
  2. Step 2: Convert to fraction form
    276,073.86/414,119.99 = 76,377.52/x
  3. Step 3: Cross multiply
    276,073.86x = 414,119.99 × 76,377.52
  4. Step 4: Simplify right side
    276,073.86x = 31,629,457,818.62
  5. Step 5: Solve for x
    x = 31,629,457,818.62/276,073.86
  6. Step 6: Final answer
    x = 114,568.83

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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.