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Finding the Fourth Proportional to 191,644.56, 264,469.44 and 106,767

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Solution

The fourth proportional to 191,644.56, 264,469.44 and 106,767 is: 147,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,644.56 : 264,469.44 = 106,767 : x
  2. Step 2: Convert to fraction form
    191,644.56/264,469.44 = 106,767/x
  3. Step 3: Cross multiply
    191,644.56x = 264,469.44 × 106,767
  4. Step 4: Simplify right side
    191,644.56x = 28,236,608,700.48
  5. Step 5: Solve for x
    x = 28,236,608,700.48/191,644.56
  6. Step 6: Final answer
    x = 147,338.43

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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.