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Finding the Fourth Proportional to 270,299.82, 373,002.75 and 149,433.42

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Solution

The fourth proportional to 270,299.82, 373,002.75 and 149,433.42 is: 206,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,299.82 : 373,002.75 = 149,433.42 : x
  2. Step 2: Convert to fraction form
    270,299.82/373,002.75 = 149,433.42/x
  3. Step 3: Cross multiply
    270,299.82x = 373,002.75 × 149,433.42
  4. Step 4: Simplify right side
    270,299.82x = 55,739,076,601.91
  5. Step 5: Solve for x
    x = 55,739,076,601.91/270,299.82
  6. Step 6: Final answer
    x = 206,212.04

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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.