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Finding the Fourth Proportional to 230,538.25, 318,201.11 and 129,994.57

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Solution

The fourth proportional to 230,538.25, 318,201.11 and 129,994.57 is: 179,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,538.25 : 318,201.11 = 129,994.57 : x
  2. Step 2: Convert to fraction form
    230,538.25/318,201.11 = 129,994.57/x
  3. Step 3: Cross multiply
    230,538.25x = 318,201.11 × 129,994.57
  4. Step 4: Simplify right side
    230,538.25x = 41,364,416,467.97
  5. Step 5: Solve for x
    x = 41,364,416,467.97/230,538.25
  6. Step 6: Final answer
    x = 179,425.39

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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.