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Finding the Fourth Proportional to 226,051.86, 338,948.19 and 68,233.62

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Solution

The fourth proportional to 226,051.86, 338,948.19 and 68,233.62 is: 102,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,051.86 : 338,948.19 = 68,233.62 : x
  2. Step 2: Convert to fraction form
    226,051.86/338,948.19 = 68,233.62/x
  3. Step 3: Cross multiply
    226,051.86x = 338,948.19 × 68,233.62
  4. Step 4: Simplify right side
    226,051.86x = 23,127,661,996.15
  5. Step 5: Solve for x
    x = 23,127,661,996.15/226,051.86
  6. Step 6: Final answer
    x = 102,311.31

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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.