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Finding the Fourth Proportional to 212,997.96, 293,951.70 and 123,573.96

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Solution

The fourth proportional to 212,997.96, 293,951.70 and 123,573.96 is: 170,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,997.96 : 293,951.70 = 123,573.96 : x
  2. Step 2: Convert to fraction form
    212,997.96/293,951.70 = 123,573.96/x
  3. Step 3: Cross multiply
    212,997.96x = 293,951.70 × 123,573.96
  4. Step 4: Simplify right side
    212,997.96x = 36,324,775,617.73
  5. Step 5: Solve for x
    x = 36,324,775,617.73/212,997.96
  6. Step 6: Final answer
    x = 170,540.49

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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.