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Finding the Fourth Proportional to 216,092.40, 323,879.40 and 110,857.20

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Solution

The fourth proportional to 216,092.40, 323,879.40 and 110,857.20 is: 166,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,092.40 : 323,879.40 = 110,857.20 : x
  2. Step 2: Convert to fraction form
    216,092.40/323,879.40 = 110,857.20/x
  3. Step 3: Cross multiply
    216,092.40x = 323,879.40 × 110,857.20
  4. Step 4: Simplify right side
    216,092.40x = 35,904,363,421.68
  5. Step 5: Solve for x
    x = 35,904,363,421.68/216,092.40
  6. Step 6: Final answer
    x = 166,152.83

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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.