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Finding the Fourth Proportional to 321,825.40, 482,910.90 and 134,855.80

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Solution

The fourth proportional to 321,825.40, 482,910.90 and 134,855.80 is: 202,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,825.40 : 482,910.90 = 134,855.80 : x
  2. Step 2: Convert to fraction form
    321,825.40/482,910.90 = 134,855.80/x
  3. Step 3: Cross multiply
    321,825.40x = 482,910.90 × 134,855.80
  4. Step 4: Simplify right side
    321,825.40x = 65,123,335,748.22
  5. Step 5: Solve for x
    x = 65,123,335,748.22/321,825.40
  6. Step 6: Final answer
    x = 202,356.11

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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.