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Finding the Fourth Proportional to 276,514.09, 414,770.90 and 76,834.38

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Solution

The fourth proportional to 276,514.09, 414,770.90 and 76,834.38 is: 115,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,514.09 : 414,770.90 = 76,834.38 : x
  2. Step 2: Convert to fraction form
    276,514.09/414,770.90 = 76,834.38/x
  3. Step 3: Cross multiply
    276,514.09x = 414,770.90 × 76,834.38
  4. Step 4: Simplify right side
    276,514.09x = 31,868,664,943.54
  5. Step 5: Solve for x
    x = 31,868,664,943.54/276,514.09
  6. Step 6: Final answer
    x = 115,251.50

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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.