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Finding the Fourth Proportional to 275,930.56, 413,894.83 and 76,250.58

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Solution

The fourth proportional to 275,930.56, 413,894.83 and 76,250.58 is: 114,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,930.56 : 413,894.83 = 76,250.58 : x
  2. Step 2: Convert to fraction form
    275,930.56/413,894.83 = 76,250.58/x
  3. Step 3: Cross multiply
    275,930.56x = 413,894.83 × 76,250.58
  4. Step 4: Simplify right side
    275,930.56x = 31,559,720,846.50
  5. Step 5: Solve for x
    x = 31,559,720,846.50/275,930.56
  6. Step 6: Final answer
    x = 114,375.59

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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.