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Finding the Fourth Proportional to 215,702.30, 297,672.09 and 120,205.73

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Solution

The fourth proportional to 215,702.30, 297,672.09 and 120,205.73 is: 165,885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,702.30 : 297,672.09 = 120,205.73 : x
  2. Step 2: Convert to fraction form
    215,702.30/297,672.09 = 120,205.73/x
  3. Step 3: Cross multiply
    215,702.30x = 297,672.09 × 120,205.73
  4. Step 4: Simplify right side
    215,702.30x = 35,781,890,879.08
  5. Step 5: Solve for x
    x = 35,781,890,879.08/215,702.30
  6. Step 6: Final answer
    x = 165,885.53

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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.