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Finding the Fourth Proportional to 203,702.40, 305,435.16 and 136,311.44

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Solution

The fourth proportional to 203,702.40, 305,435.16 and 136,311.44 is: 204,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,702.40 : 305,435.16 = 136,311.44 : x
  2. Step 2: Convert to fraction form
    203,702.40/305,435.16 = 136,311.44/x
  3. Step 3: Cross multiply
    203,702.40x = 305,435.16 × 136,311.44
  4. Step 4: Simplify right side
    203,702.40x = 41,634,306,486.23
  5. Step 5: Solve for x
    x = 41,634,306,486.23/203,702.40
  6. Step 6: Final answer
    x = 204,387.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.