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Finding the Fourth Proportional to 169,771.78, 234,299.01 and 109,467.96

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Solution

The fourth proportional to 169,771.78, 234,299.01 and 109,467.96 is: 151,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,771.78 : 234,299.01 = 109,467.96 : x
  2. Step 2: Convert to fraction form
    169,771.78/234,299.01 = 109,467.96/x
  3. Step 3: Cross multiply
    169,771.78x = 234,299.01 × 109,467.96
  4. Step 4: Simplify right side
    169,771.78x = 25,648,234,654.72
  5. Step 5: Solve for x
    x = 25,648,234,654.72/169,771.78
  6. Step 6: Final answer
    x = 151,074.78

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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.