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Finding the Fourth Proportional to 178,122.78, 267,201.68 and 51,764.12

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Solution

The fourth proportional to 178,122.78, 267,201.68 and 51,764.12 is: 77,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,122.78 : 267,201.68 = 51,764.12 : x
  2. Step 2: Convert to fraction form
    178,122.78/267,201.68 = 51,764.12/x
  3. Step 3: Cross multiply
    178,122.78x = 267,201.68 × 51,764.12
  4. Step 4: Simplify right side
    178,122.78x = 13,831,459,827.72
  5. Step 5: Solve for x
    x = 13,831,459,827.72/178,122.78
  6. Step 6: Final answer
    x = 77,651.27

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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.