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Finding the Fourth Proportional to 197,082.88, 271,974.37 and 107,658.88

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Solution

The fourth proportional to 197,082.88, 271,974.37 and 107,658.88 is: 148,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,082.88 : 271,974.37 = 107,658.88 : x
  2. Step 2: Convert to fraction form
    197,082.88/271,974.37 = 107,658.88/x
  3. Step 3: Cross multiply
    197,082.88x = 271,974.37 × 107,658.88
  4. Step 4: Simplify right side
    197,082.88x = 29,280,454,433.89
  5. Step 5: Solve for x
    x = 29,280,454,433.89/197,082.88
  6. Step 6: Final answer
    x = 148,569.25

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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.