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Finding the Fourth Proportional to 274,704.75, 412,085.66 and 75,025.10

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Solution

The fourth proportional to 274,704.75, 412,085.66 and 75,025.10 is: 112,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,704.75 : 412,085.66 = 75,025.10 : x
  2. Step 2: Convert to fraction form
    274,704.75/412,085.66 = 75,025.10/x
  3. Step 3: Cross multiply
    274,704.75x = 412,085.66 × 75,025.10
  4. Step 4: Simplify right side
    274,704.75x = 30,916,769,067.84
  5. Step 5: Solve for x
    x = 30,916,769,067.84/274,704.75
  6. Step 6: Final answer
    x = 112,545.45

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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.