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Finding the Fourth Proportional to 215,604.68, 297,542.06 and 120,117.20

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Solution

The fourth proportional to 215,604.68, 297,542.06 and 120,117.20 is: 165,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,604.68 : 297,542.06 = 120,117.20 : x
  2. Step 2: Convert to fraction form
    215,604.68/297,542.06 = 120,117.20/x
  3. Step 3: Cross multiply
    215,604.68x = 297,542.06 × 120,117.20
  4. Step 4: Simplify right side
    215,604.68x = 35,739,919,129.43
  5. Step 5: Solve for x
    x = 35,739,919,129.43/215,604.68
  6. Step 6: Final answer
    x = 165,765.97

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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.