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Finding the Fourth Proportional to 217,204.58, 325,704.63 and 84,147.14

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Solution

The fourth proportional to 217,204.58, 325,704.63 and 84,147.14 is: 126,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,204.58 : 325,704.63 = 84,147.14 : x
  2. Step 2: Convert to fraction form
    217,204.58/325,704.63 = 84,147.14/x
  3. Step 3: Cross multiply
    217,204.58x = 325,704.63 × 84,147.14
  4. Step 4: Simplify right side
    217,204.58x = 27,407,113,099.26
  5. Step 5: Solve for x
    x = 27,407,113,099.26/217,204.58
  6. Step 6: Final answer
    x = 126,181.10

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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.