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Finding the Fourth Proportional to 217,094.80, 325,081.36 and 149,834.44

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Solution

The fourth proportional to 217,094.80, 325,081.36 and 149,834.44 is: 224,364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,094.80 : 325,081.36 = 149,834.44 : x
  2. Step 2: Convert to fraction form
    217,094.80/325,081.36 = 149,834.44/x
  3. Step 3: Cross multiply
    217,094.80x = 325,081.36 × 149,834.44
  4. Step 4: Simplify right side
    217,094.80x = 48,708,383,530.04
  5. Step 5: Solve for x
    x = 48,708,383,530.04/217,094.80
  6. Step 6: Final answer
    x = 224,364.58

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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.