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Finding the Fourth Proportional to 297,136.08, 410,045.76 and 161,169.48

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Solution

The fourth proportional to 297,136.08, 410,045.76 and 161,169.48 is: 222,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,136.08 : 410,045.76 = 161,169.48 : x
  2. Step 2: Convert to fraction form
    297,136.08/410,045.76 = 161,169.48/x
  3. Step 3: Cross multiply
    297,136.08x = 410,045.76 × 161,169.48
  4. Step 4: Simplify right side
    297,136.08x = 66,086,861,915.40
  5. Step 5: Solve for x
    x = 66,086,861,915.40/297,136.08
  6. Step 6: Final answer
    x = 222,412.78

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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.