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Finding the Fourth Proportional to 232,067.84, 320,311.68 and 142,592

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Solution

The fourth proportional to 232,067.84, 320,311.68 and 142,592 is: 196,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,067.84 : 320,311.68 = 142,592 : x
  2. Step 2: Convert to fraction form
    232,067.84/320,311.68 = 142,592/x
  3. Step 3: Cross multiply
    232,067.84x = 320,311.68 × 142,592
  4. Step 4: Simplify right side
    232,067.84x = 45,673,883,074.56
  5. Step 5: Solve for x
    x = 45,673,883,074.56/232,067.84
  6. Step 6: Final answer
    x = 196,812.63

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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.