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Finding the Fourth Proportional to 208,846.48, 313,219.53 and 96,418.68

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Solution

The fourth proportional to 208,846.48, 313,219.53 and 96,418.68 is: 144,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,846.48 : 313,219.53 = 96,418.68 : x
  2. Step 2: Convert to fraction form
    208,846.48/313,219.53 = 96,418.68/x
  3. Step 3: Cross multiply
    208,846.48x = 313,219.53 × 96,418.68
  4. Step 4: Simplify right side
    208,846.48x = 30,200,213,610.35
  5. Step 5: Solve for x
    x = 30,200,213,610.35/208,846.48
  6. Step 6: Final answer
    x = 144,604.85

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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.