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Finding the Fourth Proportional to 321,825.22, 482,894.64 and 132,342.54

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Solution

The fourth proportional to 321,825.22, 482,894.64 and 132,342.54 is: 198,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,825.22 : 482,894.64 = 132,342.54 : x
  2. Step 2: Convert to fraction form
    321,825.22/482,894.64 = 132,342.54/x
  3. Step 3: Cross multiply
    321,825.22x = 482,894.64 × 132,342.54
  4. Step 4: Simplify right side
    321,825.22x = 63,907,503,209.99
  5. Step 5: Solve for x
    x = 63,907,503,209.99/321,825.22
  6. Step 6: Final answer
    x = 198,578.29

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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.