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Finding the Fourth Proportional to 196,380.57, 270,998.10 and 120,027.45

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Solution

The fourth proportional to 196,380.57, 270,998.10 and 120,027.45 is: 165,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,380.57 : 270,998.10 = 120,027.45 : x
  2. Step 2: Convert to fraction form
    196,380.57/270,998.10 = 120,027.45/x
  3. Step 3: Cross multiply
    196,380.57x = 270,998.10 × 120,027.45
  4. Step 4: Simplify right side
    196,380.57x = 32,527,210,897.85
  5. Step 5: Solve for x
    x = 32,527,210,897.85/196,380.57
  6. Step 6: Final answer
    x = 165,633.55

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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.