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Finding the Fourth Proportional to 263,721.76, 395,648.24 and 76,733.24

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Solution

The fourth proportional to 263,721.76, 395,648.24 and 76,733.24 is: 115,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,721.76 : 395,648.24 = 76,733.24 : x
  2. Step 2: Convert to fraction form
    263,721.76/395,648.24 = 76,733.24/x
  3. Step 3: Cross multiply
    263,721.76x = 395,648.24 × 76,733.24
  4. Step 4: Simplify right side
    263,721.76x = 30,359,371,355.50
  5. Step 5: Solve for x
    x = 30,359,371,355.50/263,721.76
  6. Step 6: Final answer
    x = 115,118.95

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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.