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Finding the Fourth Proportional to 142,796.80, 213,734.40 and 131,737.60

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Solution

The fourth proportional to 142,796.80, 213,734.40 and 131,737.60 is: 197,181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,796.80 : 213,734.40 = 131,737.60 : x
  2. Step 2: Convert to fraction form
    142,796.80/213,734.40 = 131,737.60/x
  3. Step 3: Cross multiply
    142,796.80x = 213,734.40 × 131,737.60
  4. Step 4: Simplify right side
    142,796.80x = 28,156,856,893.44
  5. Step 5: Solve for x
    x = 28,156,856,893.44/142,796.80
  6. Step 6: Final answer
    x = 197,181.29

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Why These Related Problems?

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