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Finding the Fourth Proportional to 274,220.40, 410,869.80 and 133,676.40

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Solution

The fourth proportional to 274,220.40, 410,869.80 and 133,676.40 is: 200,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,220.40 : 410,869.80 = 133,676.40 : x
  2. Step 2: Convert to fraction form
    274,220.40/410,869.80 = 133,676.40/x
  3. Step 3: Cross multiply
    274,220.40x = 410,869.80 × 133,676.40
  4. Step 4: Simplify right side
    274,220.40x = 54,923,595,732.72
  5. Step 5: Solve for x
    x = 54,923,595,732.72/274,220.40
  6. Step 6: Final answer
    x = 200,289.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.