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Finding the Fourth Proportional to 225,835.77, 338,753.43 and 68,064.24

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Solution

The fourth proportional to 225,835.77, 338,753.43 and 68,064.24 is: 102,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,835.77 : 338,753.43 = 68,064.24 : x
  2. Step 2: Convert to fraction form
    225,835.77/338,753.43 = 68,064.24/x
  3. Step 3: Cross multiply
    225,835.77x = 338,753.43 × 68,064.24
  4. Step 4: Simplify right side
    225,835.77x = 23,056,994,760.34
  5. Step 5: Solve for x
    x = 23,056,994,760.34/225,835.77
  6. Step 6: Final answer
    x = 102,096.29

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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.