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Finding the Fourth Proportional to 166,104.72, 229,144.78 and 108,718.77

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Solution

The fourth proportional to 166,104.72, 229,144.78 and 108,718.77 is: 149,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,104.72 : 229,144.78 = 108,718.77 : x
  2. Step 2: Convert to fraction form
    166,104.72/229,144.78 = 108,718.77/x
  3. Step 3: Cross multiply
    166,104.72x = 229,144.78 × 108,718.77
  4. Step 4: Simplify right side
    166,104.72x = 24,912,339,206.38
  5. Step 5: Solve for x
    x = 24,912,339,206.38/166,104.72
  6. Step 6: Final answer
    x = 149,979.72

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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.