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Finding the Fourth Proportional to 171,896.28, 257,844.50 and 53,577.16

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Solution

The fourth proportional to 171,896.28, 257,844.50 and 53,577.16 is: 80,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,896.28 : 257,844.50 = 53,577.16 : x
  2. Step 2: Convert to fraction form
    171,896.28/257,844.50 = 53,577.16/x
  3. Step 3: Cross multiply
    171,896.28x = 257,844.50 × 53,577.16
  4. Step 4: Simplify right side
    171,896.28x = 13,814,576,031.62
  5. Step 5: Solve for x
    x = 13,814,576,031.62/171,896.28
  6. Step 6: Final answer
    x = 80,365.76

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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.