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Finding the Fourth Proportional to 182,809.67, 274,310.13 and 74,819.20

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Solution

The fourth proportional to 182,809.67, 274,310.13 and 74,819.20 is: 112,267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,809.67 : 274,310.13 = 74,819.20 : x
  2. Step 2: Convert to fraction form
    182,809.67/274,310.13 = 74,819.20/x
  3. Step 3: Cross multiply
    182,809.67x = 274,310.13 × 74,819.20
  4. Step 4: Simplify right side
    182,809.67x = 20,523,664,478.50
  5. Step 5: Solve for x
    x = 20,523,664,478.50/182,809.67
  6. Step 6: Final answer
    x = 112,267.94

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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.