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Finding the Fourth Proportional to 274,707.62, 412,202.06 and 130,776.32

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Solution

The fourth proportional to 274,707.62, 412,202.06 and 130,776.32 is: 196,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,707.62 : 412,202.06 = 130,776.32 : x
  2. Step 2: Convert to fraction form
    274,707.62/412,202.06 = 130,776.32/x
  3. Step 3: Cross multiply
    274,707.62x = 412,202.06 × 130,776.32
  4. Step 4: Simplify right side
    274,707.62x = 53,906,265,788.33
  5. Step 5: Solve for x
    x = 53,906,265,788.33/274,707.62
  6. Step 6: Final answer
    x = 196,231.42

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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.