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Finding the Fourth Proportional to 212,882.34, 293,766.82 and 120,999.22

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Solution

The fourth proportional to 212,882.34, 293,766.82 and 120,999.22 is: 166,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,882.34 : 293,766.82 = 120,999.22 : x
  2. Step 2: Convert to fraction form
    212,882.34/293,766.82 = 120,999.22/x
  3. Step 3: Cross multiply
    212,882.34x = 293,766.82 × 120,999.22
  4. Step 4: Simplify right side
    212,882.34x = 35,545,556,081.88
  5. Step 5: Solve for x
    x = 35,545,556,081.88/212,882.34
  6. Step 6: Final answer
    x = 166,972.78

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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.