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Finding the Fourth Proportional to 225,837.12, 338,768.64 and 68,049.12

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Solution

The fourth proportional to 225,837.12, 338,768.64 and 68,049.12 is: 102,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,837.12 : 338,768.64 = 68,049.12 : x
  2. Step 2: Convert to fraction form
    225,837.12/338,768.64 = 68,049.12/x
  3. Step 3: Cross multiply
    225,837.12x = 338,768.64 × 68,049.12
  4. Step 4: Simplify right side
    225,837.12x = 23,052,907,835.60
  5. Step 5: Solve for x
    x = 23,052,907,835.60/225,837.12
  6. Step 6: Final answer
    x = 102,077.59

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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.