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Finding the Fourth Proportional to 178,103.31, 267,168.84 and 51,745.60

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Solution

The fourth proportional to 178,103.31, 267,168.84 and 51,745.60 is: 77,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,103.31 : 267,168.84 = 51,745.60 : x
  2. Step 2: Convert to fraction form
    178,103.31/267,168.84 = 51,745.60/x
  3. Step 3: Cross multiply
    178,103.31x = 267,168.84 × 51,745.60
  4. Step 4: Simplify right side
    178,103.31x = 13,824,811,927.10
  5. Step 5: Solve for x
    x = 13,824,811,927.10/178,103.31
  6. Step 6: Final answer
    x = 77,622.43

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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.