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Finding the Fourth Proportional to 178,223.22, 267,291 and 78,408.54

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Solution

The fourth proportional to 178,223.22, 267,291 and 78,408.54 is: 117,593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,223.22 : 267,291 = 78,408.54 : x
  2. Step 2: Convert to fraction form
    178,223.22/267,291 = 78,408.54/x
  3. Step 3: Cross multiply
    178,223.22x = 267,291 × 78,408.54
  4. Step 4: Simplify right side
    178,223.22x = 20,957,897,065.14
  5. Step 5: Solve for x
    x = 20,957,897,065.14/178,223.22
  6. Step 6: Final answer
    x = 117,593.53

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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.