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Finding the Fourth Proportional to 263,798.87, 364,049.16 and 161,880.62

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Solution

The fourth proportional to 263,798.87, 364,049.16 and 161,880.62 is: 223,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,798.87 : 364,049.16 = 161,880.62 : x
  2. Step 2: Convert to fraction form
    263,798.87/364,049.16 = 161,880.62/x
  3. Step 3: Cross multiply
    263,798.87x = 364,049.16 × 161,880.62
  4. Step 4: Simplify right side
    263,798.87x = 58,932,501,911.03
  5. Step 5: Solve for x
    x = 58,932,501,911.03/263,798.87
  6. Step 6: Final answer
    x = 223,399.38

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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.