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Finding the Fourth Proportional to 275,722.38, 380,532.57 and 154,863.66

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Solution

The fourth proportional to 275,722.38, 380,532.57 and 154,863.66 is: 213,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,722.38 : 380,532.57 = 154,863.66 : x
  2. Step 2: Convert to fraction form
    275,722.38/380,532.57 = 154,863.66/x
  3. Step 3: Cross multiply
    275,722.38x = 380,532.57 × 154,863.66
  4. Step 4: Simplify right side
    275,722.38x = 58,930,666,539.41
  5. Step 5: Solve for x
    x = 58,930,666,539.41/275,722.38
  6. Step 6: Final answer
    x = 213,731.89

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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.