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Finding the Fourth Proportional to 178,252.49, 267,365.37 and 51,893.71

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Solution

The fourth proportional to 178,252.49, 267,365.37 and 51,893.71 is: 77,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,252.49 : 267,365.37 = 51,893.71 : x
  2. Step 2: Convert to fraction form
    178,252.49/267,365.37 = 51,893.71/x
  3. Step 3: Cross multiply
    178,252.49x = 267,365.37 × 51,893.71
  4. Step 4: Simplify right side
    178,252.49x = 13,874,580,974.82
  5. Step 5: Solve for x
    x = 13,874,580,974.82/178,252.49
  6. Step 6: Final answer
    x = 77,836.67

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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.