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Finding the Fourth Proportional to 232,168.92, 320,257.36 and 145,991.51

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Solution

The fourth proportional to 232,168.92, 320,257.36 and 145,991.51 is: 201,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,168.92 : 320,257.36 = 145,991.51 : x
  2. Step 2: Convert to fraction form
    232,168.92/320,257.36 = 145,991.51/x
  3. Step 3: Cross multiply
    232,168.92x = 320,257.36 × 145,991.51
  4. Step 4: Simplify right side
    232,168.92x = 46,754,853,243.77
  5. Step 5: Solve for x
    x = 46,754,853,243.77/232,168.92
  6. Step 6: Final answer
    x = 201,382.92

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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.