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Finding the Fourth Proportional to 254,355.50, 381,540.54 and 67,367

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Solution

The fourth proportional to 254,355.50, 381,540.54 and 67,367 is: 101,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,355.50 : 381,540.54 = 67,367 : x
  2. Step 2: Convert to fraction form
    254,355.50/381,540.54 = 67,367/x
  3. Step 3: Cross multiply
    254,355.50x = 381,540.54 × 67,367
  4. Step 4: Simplify right side
    254,355.50x = 25,703,241,558.18
  5. Step 5: Solve for x
    x = 25,703,241,558.18/254,355.50
  6. Step 6: Final answer
    x = 101,052.43

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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.