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Finding the Fourth Proportional to 274,158.45, 378,433.92 and 188,401.39

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Solution

The fourth proportional to 274,158.45, 378,433.92 and 188,401.39 is: 260,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,158.45 : 378,433.92 = 188,401.39 : x
  2. Step 2: Convert to fraction form
    274,158.45/378,433.92 = 188,401.39/x
  3. Step 3: Cross multiply
    274,158.45x = 378,433.92 × 188,401.39
  4. Step 4: Simplify right side
    274,158.45x = 71,297,478,440.26
  5. Step 5: Solve for x
    x = 71,297,478,440.26/274,158.45
  6. Step 6: Final answer
    x = 260,059.39

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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.