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Finding the Fourth Proportional to 189,016.30, 283,524.45 and 171,520.30

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Solution

The fourth proportional to 189,016.30, 283,524.45 and 171,520.30 is: 257,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,016.30 : 283,524.45 = 171,520.30 : x
  2. Step 2: Convert to fraction form
    189,016.30/283,524.45 = 171,520.30/x
  3. Step 3: Cross multiply
    189,016.30x = 283,524.45 × 171,520.30
  4. Step 4: Simplify right side
    189,016.30x = 48,630,198,721.34
  5. Step 5: Solve for x
    x = 48,630,198,721.34/189,016.30
  6. Step 6: Final answer
    x = 257,280.45

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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.