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Finding the Fourth Proportional to 225,834.91, 338,883.60 and 101,175.91

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Solution

The fourth proportional to 225,834.91, 338,883.60 and 101,175.91 is: 151,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,834.91 : 338,883.60 = 101,175.91 : x
  2. Step 2: Convert to fraction form
    225,834.91/338,883.60 = 101,175.91/x
  3. Step 3: Cross multiply
    225,834.91x = 338,883.60 × 101,175.91
  4. Step 4: Simplify right side
    225,834.91x = 34,286,856,614.08
  5. Step 5: Solve for x
    x = 34,286,856,614.08/225,834.91
  6. Step 6: Final answer
    x = 151,822.66

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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.