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Finding the Fourth Proportional to 321,205.89, 443,282.09 and 183,425.50

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Solution

The fourth proportional to 321,205.89, 443,282.09 and 183,425.50 is: 253,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,205.89 : 443,282.09 = 183,425.50 : x
  2. Step 2: Convert to fraction form
    321,205.89/443,282.09 = 183,425.50/x
  3. Step 3: Cross multiply
    321,205.89x = 443,282.09 × 183,425.50
  4. Step 4: Simplify right side
    321,205.89x = 81,309,238,636.27
  5. Step 5: Solve for x
    x = 81,309,238,636.27/321,205.89
  6. Step 6: Final answer
    x = 253,137.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.