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Finding the Fourth Proportional to 199,197.95, 274,885.17 and 108,551.98

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Solution

The fourth proportional to 199,197.95, 274,885.17 and 108,551.98 is: 149,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,197.95 : 274,885.17 = 108,551.98 : x
  2. Step 2: Convert to fraction form
    199,197.95/274,885.17 = 108,551.98/x
  3. Step 3: Cross multiply
    199,197.95x = 274,885.17 × 108,551.98
  4. Step 4: Simplify right side
    199,197.95x = 29,839,331,101.70
  5. Step 5: Solve for x
    x = 29,839,331,101.70/199,197.95
  6. Step 6: Final answer
    x = 149,797.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.