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Finding the Fourth Proportional to 174,393, 261,684 and 135,027

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Solution

The fourth proportional to 174,393, 261,684 and 135,027 is: 202,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,393 : 261,684 = 135,027 : x
  2. Step 2: Convert to fraction form
    174,393/261,684 = 135,027/x
  3. Step 3: Cross multiply
    174,393x = 261,684 × 135,027
  4. Step 4: Simplify right side
    174,393x = 35,334,405,468
  5. Step 5: Solve for x
    x = 35,334,405,468/174,393
  6. Step 6: Final answer
    x = 202,613.67

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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.