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Finding the Fourth Proportional to 188,232.38, 259,765.20 and 102,194.99

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Solution

The fourth proportional to 188,232.38, 259,765.20 and 102,194.99 is: 141,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,232.38 : 259,765.20 = 102,194.99 : x
  2. Step 2: Convert to fraction form
    188,232.38/259,765.20 = 102,194.99/x
  3. Step 3: Cross multiply
    188,232.38x = 259,765.20 × 102,194.99
  4. Step 4: Simplify right side
    188,232.38x = 26,546,700,462.03
  5. Step 5: Solve for x
    x = 26,546,700,462.03/188,232.38
  6. Step 6: Final answer
    x = 141,031.53

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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.