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Finding the Fourth Proportional to 225,949.86, 338,933.61 and 68,178.33

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Solution

The fourth proportional to 225,949.86, 338,933.61 and 68,178.33 is: 102,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,949.86 : 338,933.61 = 68,178.33 : x
  2. Step 2: Convert to fraction form
    225,949.86/338,933.61 = 68,178.33/x
  3. Step 3: Cross multiply
    225,949.86x = 338,933.61 × 68,178.33
  4. Step 4: Simplify right side
    225,949.86x = 23,107,927,510.67
  5. Step 5: Solve for x
    x = 23,107,927,510.67/225,949.86
  6. Step 6: Final answer
    x = 102,270.16

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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.