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Finding the Fourth Proportional to 215,994.18, 298,069.38 and 119,198.77

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Solution

The fourth proportional to 215,994.18, 298,069.38 and 119,198.77 is: 164,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,994.18 : 298,069.38 = 119,198.77 : x
  2. Step 2: Convert to fraction form
    215,994.18/298,069.38 = 119,198.77/x
  3. Step 3: Cross multiply
    215,994.18x = 298,069.38 × 119,198.77
  4. Step 4: Simplify right side
    215,994.18x = 35,529,503,470.66
  5. Step 5: Solve for x
    x = 35,529,503,470.66/215,994.18
  6. Step 6: Final answer
    x = 164,492.87

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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.