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Finding the Fourth Proportional to 215,930.97, 297,985.14 and 120,443.85

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Solution

The fourth proportional to 215,930.97, 297,985.14 and 120,443.85 is: 166,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,930.97 : 297,985.14 = 120,443.85 : x
  2. Step 2: Convert to fraction form
    215,930.97/297,985.14 = 120,443.85/x
  3. Step 3: Cross multiply
    215,930.97x = 297,985.14 × 120,443.85
  4. Step 4: Simplify right side
    215,930.97x = 35,890,477,504.39
  5. Step 5: Solve for x
    x = 35,890,477,504.39/215,930.97
  6. Step 6: Final answer
    x = 166,212.74

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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.