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Finding the Fourth Proportional to 178,097.52, 267,104.34 and 51,704.40

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Solution

The fourth proportional to 178,097.52, 267,104.34 and 51,704.40 is: 77,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,097.52 : 267,104.34 = 51,704.40 : x
  2. Step 2: Convert to fraction form
    178,097.52/267,104.34 = 51,704.40/x
  3. Step 3: Cross multiply
    178,097.52x = 267,104.34 × 51,704.40
  4. Step 4: Simplify right side
    178,097.52x = 13,810,469,637.10
  5. Step 5: Solve for x
    x = 13,810,469,637.10/178,097.52
  6. Step 6: Final answer
    x = 77,544.42

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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.