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Finding the Fourth Proportional to 197,082.63, 271,974.03 and 107,658.63

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Solution

The fourth proportional to 197,082.63, 271,974.03 and 107,658.63 is: 148,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,082.63 : 271,974.03 = 107,658.63 : x
  2. Step 2: Convert to fraction form
    197,082.63/271,974.03 = 107,658.63/x
  3. Step 3: Cross multiply
    197,082.63x = 271,974.03 × 107,658.63
  4. Step 4: Simplify right side
    197,082.63x = 29,280,349,567.22
  5. Step 5: Solve for x
    x = 29,280,349,567.22/197,082.63
  6. Step 6: Final answer
    x = 148,568.90

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