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Finding the Fourth Proportional to 132,147.38, 182,514.75 and 87,027.03

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Solution

The fourth proportional to 132,147.38, 182,514.75 and 87,027.03 is: 120,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,147.38 : 182,514.75 = 87,027.03 : x
  2. Step 2: Convert to fraction form
    132,147.38/182,514.75 = 87,027.03/x
  3. Step 3: Cross multiply
    132,147.38x = 182,514.75 × 87,027.03
  4. Step 4: Simplify right side
    132,147.38x = 15,883,716,623.69
  5. Step 5: Solve for x
    x = 15,883,716,623.69/132,147.38
  6. Step 6: Final answer
    x = 120,196.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.