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Finding the Fourth Proportional to 208,846.39, 313,219.40 and 96,418.62

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Solution

The fourth proportional to 208,846.39, 313,219.40 and 96,418.62 is: 144,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,846.39 : 313,219.40 = 96,418.62 : x
  2. Step 2: Convert to fraction form
    208,846.39/313,219.40 = 96,418.62/x
  3. Step 3: Cross multiply
    208,846.39x = 313,219.40 × 96,418.62
  4. Step 4: Simplify right side
    208,846.39x = 30,200,182,305.23
  5. Step 5: Solve for x
    x = 30,200,182,305.23/208,846.39
  6. Step 6: Final answer
    x = 144,604.76

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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.