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Finding the Fourth Proportional to 274,906.88, 412,412.16 and 108,707.84

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Solution

The fourth proportional to 274,906.88, 412,412.16 and 108,707.84 is: 163,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,906.88 : 412,412.16 = 108,707.84 : x
  2. Step 2: Convert to fraction form
    274,906.88/412,412.16 = 108,707.84/x
  3. Step 3: Cross multiply
    274,906.88x = 412,412.16 × 108,707.84
  4. Step 4: Simplify right side
    274,906.88x = 44,832,435,103.33
  5. Step 5: Solve for x
    x = 44,832,435,103.33/274,906.88
  6. Step 6: Final answer
    x = 163,082.26

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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.