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Finding the Fourth Proportional to 274,712.64, 412,002.36 and 75,033.96

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Solution

The fourth proportional to 274,712.64, 412,002.36 and 75,033.96 is: 112,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,712.64 : 412,002.36 = 75,033.96 : x
  2. Step 2: Convert to fraction form
    274,712.64/412,002.36 = 75,033.96/x
  3. Step 3: Cross multiply
    274,712.64x = 412,002.36 × 75,033.96
  4. Step 4: Simplify right side
    274,712.64x = 30,914,168,600.15
  5. Step 5: Solve for x
    x = 30,914,168,600.15/274,712.64
  6. Step 6: Final answer
    x = 112,532.75

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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.