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Finding the Fourth Proportional to 215,199, 322,850.36 and 67,455

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Solution

The fourth proportional to 215,199, 322,850.36 and 67,455 is: 101,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,199 : 322,850.36 = 67,455 : x
  2. Step 2: Convert to fraction form
    215,199/322,850.36 = 67,455/x
  3. Step 3: Cross multiply
    215,199x = 322,850.36 × 67,455
  4. Step 4: Simplify right side
    215,199x = 21,777,871,033.80
  5. Step 5: Solve for x
    x = 21,777,871,033.80/215,199
  6. Step 6: Final answer
    x = 101,198.76

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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.