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Finding the Fourth Proportional to 137,446.38, 189,563.54 and 96,745.24

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Solution

The fourth proportional to 137,446.38, 189,563.54 and 96,745.24 is: 133,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,446.38 : 189,563.54 = 96,745.24 : x
  2. Step 2: Convert to fraction form
    137,446.38/189,563.54 = 96,745.24/x
  3. Step 3: Cross multiply
    137,446.38x = 189,563.54 × 96,745.24
  4. Step 4: Simplify right side
    137,446.38x = 18,339,369,456.78
  5. Step 5: Solve for x
    x = 18,339,369,456.78/137,446.38
  6. Step 6: Final answer
    x = 133,429.27

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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.