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Finding the Fourth Proportional to 232,696.14, 321,112.17 and 142,203.57

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Solution

The fourth proportional to 232,696.14, 321,112.17 and 142,203.57 is: 196,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,696.14 : 321,112.17 = 142,203.57 : x
  2. Step 2: Convert to fraction form
    232,696.14/321,112.17 = 142,203.57/x
  3. Step 3: Cross multiply
    232,696.14x = 321,112.17 × 142,203.57
  4. Step 4: Simplify right side
    232,696.14x = 45,663,296,944.45
  5. Step 5: Solve for x
    x = 45,663,296,944.45/232,696.14
  6. Step 6: Final answer
    x = 196,235.73

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