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Finding the Fourth Proportional to 171,422.44, 257,084.01 and 51,474.55

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Solution

The fourth proportional to 171,422.44, 257,084.01 and 51,474.55 is: 77,196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,422.44 : 257,084.01 = 51,474.55 : x
  2. Step 2: Convert to fraction form
    171,422.44/257,084.01 = 51,474.55/x
  3. Step 3: Cross multiply
    171,422.44x = 257,084.01 × 51,474.55
  4. Step 4: Simplify right side
    171,422.44x = 13,233,283,331.52
  5. Step 5: Solve for x
    x = 13,233,283,331.52/171,422.44
  6. Step 6: Final answer
    x = 77,196.91

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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.