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Finding the Fourth Proportional to 297,088.35, 409,982.14 and 161,122.25

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Solution

The fourth proportional to 297,088.35, 409,982.14 and 161,122.25 is: 222,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,088.35 : 409,982.14 = 161,122.25 : x
  2. Step 2: Convert to fraction form
    297,088.35/409,982.14 = 161,122.25/x
  3. Step 3: Cross multiply
    297,088.35x = 409,982.14 × 161,122.25
  4. Step 4: Simplify right side
    297,088.35x = 66,057,244,856.62
  5. Step 5: Solve for x
    x = 66,057,244,856.62/297,088.35
  6. Step 6: Final answer
    x = 222,348.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.