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Finding the Fourth Proportional to 232,542.82, 320,944.16 and 141,951.47

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Solution

The fourth proportional to 232,542.82, 320,944.16 and 141,951.47 is: 195,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,542.82 : 320,944.16 = 141,951.47 : x
  2. Step 2: Convert to fraction form
    232,542.82/320,944.16 = 141,951.47/x
  3. Step 3: Cross multiply
    232,542.82x = 320,944.16 × 141,951.47
  4. Step 4: Simplify right side
    232,542.82x = 45,558,494,590.16
  5. Step 5: Solve for x
    x = 45,558,494,590.16/232,542.82
  6. Step 6: Final answer
    x = 195,914.44

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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.