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Finding the Fourth Proportional to 257,311.10, 355,100.62 and 142,589.42

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Solution

The fourth proportional to 257,311.10, 355,100.62 and 142,589.42 is: 196,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,311.10 : 355,100.62 = 142,589.42 : x
  2. Step 2: Convert to fraction form
    257,311.10/355,100.62 = 142,589.42/x
  3. Step 3: Cross multiply
    257,311.10x = 355,100.62 × 142,589.42
  4. Step 4: Simplify right side
    257,311.10x = 50,633,591,447.44
  5. Step 5: Solve for x
    x = 50,633,591,447.44/257,311.10
  6. Step 6: Final answer
    x = 196,779.66

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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.