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Finding the Fourth Proportional to 233,676.74, 322,473.50 and 126,246.44

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Solution

The fourth proportional to 233,676.74, 322,473.50 and 126,246.44 is: 174,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,676.74 : 322,473.50 = 126,246.44 : x
  2. Step 2: Convert to fraction form
    233,676.74/322,473.50 = 126,246.44/x
  3. Step 3: Cross multiply
    233,676.74x = 322,473.50 × 126,246.44
  4. Step 4: Simplify right side
    233,676.74x = 40,711,131,369.34
  5. Step 5: Solve for x
    x = 40,711,131,369.34/233,676.74
  6. Step 6: Final answer
    x = 174,219.87

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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.