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Finding the Fourth Proportional to 215,907.57, 297,951.68 and 120,414.21

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Solution

The fourth proportional to 215,907.57, 297,951.68 and 120,414.21 is: 166,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,907.57 : 297,951.68 = 120,414.21 : x
  2. Step 2: Convert to fraction form
    215,907.57/297,951.68 = 120,414.21/x
  3. Step 3: Cross multiply
    215,907.57x = 297,951.68 × 120,414.21
  4. Step 4: Simplify right side
    215,907.57x = 35,877,616,466.41
  5. Step 5: Solve for x
    x = 35,877,616,466.41/215,907.57
  6. Step 6: Final answer
    x = 166,171.18

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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.