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Finding the Fourth Proportional to 178,252.62, 267,365.56 and 51,893.83

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Solution

The fourth proportional to 178,252.62, 267,365.56 and 51,893.83 is: 77,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,252.62 : 267,365.56 = 51,893.83 : x
  2. Step 2: Convert to fraction form
    178,252.62/267,365.56 = 51,893.83/x
  3. Step 3: Cross multiply
    178,252.62x = 267,365.56 × 51,893.83
  4. Step 4: Simplify right side
    178,252.62x = 13,874,622,918.49
  5. Step 5: Solve for x
    x = 13,874,622,918.49/178,252.62
  6. Step 6: Final answer
    x = 77,836.85

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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.