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Finding the Fourth Proportional to 171,841.50, 257,783.31 and 53,494.02

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Solution

The fourth proportional to 171,841.50, 257,783.31 and 53,494.02 is: 80,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,841.50 : 257,783.31 = 53,494.02 : x
  2. Step 2: Convert to fraction form
    171,841.50/257,783.31 = 53,494.02/x
  3. Step 3: Cross multiply
    171,841.50x = 257,783.31 × 53,494.02
  4. Step 4: Simplify right side
    171,841.50x = 13,789,865,540.81
  5. Step 5: Solve for x
    x = 13,789,865,540.81/171,841.50
  6. Step 6: Final answer
    x = 80,247.59

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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.