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Finding the Fourth Proportional to 274,847.87, 412,265.93 and 75,168.25

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Solution

The fourth proportional to 274,847.87, 412,265.93 and 75,168.25 is: 112,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,847.87 : 412,265.93 = 75,168.25 : x
  2. Step 2: Convert to fraction form
    274,847.87/412,265.93 = 75,168.25/x
  3. Step 3: Cross multiply
    274,847.87x = 412,265.93 × 75,168.25
  4. Step 4: Simplify right side
    274,847.87x = 30,989,309,711.31
  5. Step 5: Solve for x
    x = 30,989,309,711.31/274,847.87
  6. Step 6: Final answer
    x = 112,750.77

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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.