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Finding the Fourth Proportional to 321,892.84, 482,891.10 and 100,225

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Solution

The fourth proportional to 321,892.84, 482,891.10 and 100,225 is: 150,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,892.84 : 482,891.10 = 100,225 : x
  2. Step 2: Convert to fraction form
    321,892.84/482,891.10 = 100,225/x
  3. Step 3: Cross multiply
    321,892.84x = 482,891.10 × 100,225
  4. Step 4: Simplify right side
    321,892.84x = 48,397,760,497.50
  5. Step 5: Solve for x
    x = 48,397,760,497.50/321,892.84
  6. Step 6: Final answer
    x = 150,353.64

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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.