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Finding the Fourth Proportional to 180,562.72, 270,299.76 and 97,204

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Solution

The fourth proportional to 180,562.72, 270,299.76 and 97,204 is: 145,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,562.72 : 270,299.76 = 97,204 : x
  2. Step 2: Convert to fraction form
    180,562.72/270,299.76 = 97,204/x
  3. Step 3: Cross multiply
    180,562.72x = 270,299.76 × 97,204
  4. Step 4: Simplify right side
    180,562.72x = 26,274,217,871.04
  5. Step 5: Solve for x
    x = 26,274,217,871.04/180,562.72
  6. Step 6: Final answer
    x = 145,512.97

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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.