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Finding the Fourth Proportional to 196,381.32, 270,999.14 and 120,028.20

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Solution

The fourth proportional to 196,381.32, 270,999.14 and 120,028.20 is: 165,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,381.32 : 270,999.14 = 120,028.20 : x
  2. Step 2: Convert to fraction form
    196,381.32/270,999.14 = 120,028.20/x
  3. Step 3: Cross multiply
    196,381.32x = 270,999.14 × 120,028.20
  4. Step 4: Simplify right side
    196,381.32x = 32,527,538,375.61
  5. Step 5: Solve for x
    x = 32,527,538,375.61/196,381.32
  6. Step 6: Final answer
    x = 165,634.58

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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.