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Finding the Fourth Proportional to 166,010.92, 229,286.30 and 120,890.68

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Solution

The fourth proportional to 166,010.92, 229,286.30 and 120,890.68 is: 166,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,010.92 : 229,286.30 = 120,890.68 : x
  2. Step 2: Convert to fraction form
    166,010.92/229,286.30 = 120,890.68/x
  3. Step 3: Cross multiply
    166,010.92x = 229,286.30 × 120,890.68
  4. Step 4: Simplify right side
    166,010.92x = 27,718,575,544.01
  5. Step 5: Solve for x
    x = 27,718,575,544.01/166,010.92
  6. Step 6: Final answer
    x = 166,968.39

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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.