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Finding the Fourth Proportional to 162,846.48, 244,353.24 and 77,553.84

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Solution

The fourth proportional to 162,846.48, 244,353.24 and 77,553.84 is: 116,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,846.48 : 244,353.24 = 77,553.84 : x
  2. Step 2: Convert to fraction form
    162,846.48/244,353.24 = 77,553.84/x
  3. Step 3: Cross multiply
    162,846.48x = 244,353.24 × 77,553.84
  4. Step 4: Simplify right side
    162,846.48x = 18,950,532,078.44
  5. Step 5: Solve for x
    x = 18,950,532,078.44/162,846.48
  6. Step 6: Final answer
    x = 116,370.54

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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.