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Finding the Fourth Proportional to 218,497.38, 301,505.84 and 161,167.91

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Solution

The fourth proportional to 218,497.38, 301,505.84 and 161,167.91 is: 222,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,497.38 : 301,505.84 = 161,167.91 : x
  2. Step 2: Convert to fraction form
    218,497.38/301,505.84 = 161,167.91/x
  3. Step 3: Cross multiply
    218,497.38x = 301,505.84 × 161,167.91
  4. Step 4: Simplify right side
    218,497.38x = 48,593,063,772.23
  5. Step 5: Solve for x
    x = 48,593,063,772.23/218,497.38
  6. Step 6: Final answer
    x = 222,396.55

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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.