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Finding the Fourth Proportional to 221,676.98, 305,914.56 and 126,183.68

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Solution

The fourth proportional to 221,676.98, 305,914.56 and 126,183.68 is: 174,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,676.98 : 305,914.56 = 126,183.68 : x
  2. Step 2: Convert to fraction form
    221,676.98/305,914.56 = 126,183.68/x
  3. Step 3: Cross multiply
    221,676.98x = 305,914.56 × 126,183.68
  4. Step 4: Simplify right side
    221,676.98x = 38,601,424,946.38
  5. Step 5: Solve for x
    x = 38,601,424,946.38/221,676.98
  6. Step 6: Final answer
    x = 174,133.66

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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.