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Finding the Fourth Proportional to 274,891.69, 412,348.44 and 130,762.90

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Solution

The fourth proportional to 274,891.69, 412,348.44 and 130,762.90 is: 196,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,891.69 : 412,348.44 = 130,762.90 : x
  2. Step 2: Convert to fraction form
    274,891.69/412,348.44 = 130,762.90/x
  3. Step 3: Cross multiply
    274,891.69x = 412,348.44 × 130,762.90
  4. Step 4: Simplify right side
    274,891.69x = 53,919,877,824.88
  5. Step 5: Solve for x
    x = 53,919,877,824.88/274,891.69
  6. Step 6: Final answer
    x = 196,149.54

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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.