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Finding the Fourth Proportional to 205,553.20, 308,325.42 and 94,745.20

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Solution

The fourth proportional to 205,553.20, 308,325.42 and 94,745.20 is: 142,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,553.20 : 308,325.42 = 94,745.20 : x
  2. Step 2: Convert to fraction form
    205,553.20/308,325.42 = 94,745.20/x
  3. Step 3: Cross multiply
    205,553.20x = 308,325.42 × 94,745.20
  4. Step 4: Simplify right side
    205,553.20x = 29,212,353,582.98
  5. Step 5: Solve for x
    x = 29,212,353,582.98/205,553.20
  6. Step 6: Final answer
    x = 142,115.78

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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.