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Finding the Fourth Proportional to 215,906.34, 297,950.77 and 120,410.99

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Solution

The fourth proportional to 215,906.34, 297,950.77 and 120,410.99 is: 166,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,906.34 : 297,950.77 = 120,410.99 : x
  2. Step 2: Convert to fraction form
    215,906.34/297,950.77 = 120,410.99/x
  3. Step 3: Cross multiply
    215,906.34x = 297,950.77 × 120,410.99
  4. Step 4: Simplify right side
    215,906.34x = 35,876,546,965.04
  5. Step 5: Solve for x
    x = 35,876,546,965.04/215,906.34
  6. Step 6: Final answer
    x = 166,167.17

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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.