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Finding the Fourth Proportional to 225,841.96, 338,749.98 and 101,270.44

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Solution

The fourth proportional to 225,841.96, 338,749.98 and 101,270.44 is: 151,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,841.96 : 338,749.98 = 101,270.44 : x
  2. Step 2: Convert to fraction form
    225,841.96/338,749.98 = 101,270.44/x
  3. Step 3: Cross multiply
    225,841.96x = 338,749.98 × 101,270.44
  4. Step 4: Simplify right side
    225,841.96x = 34,305,359,524.59
  5. Step 5: Solve for x
    x = 34,305,359,524.59/225,841.96
  6. Step 6: Final answer
    x = 151,899.85

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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.