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Finding the Fourth Proportional to 232,039.48, 320,194.92 and 128,676.64

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Solution

The fourth proportional to 232,039.48, 320,194.92 and 128,676.64 is: 177,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,039.48 : 320,194.92 = 128,676.64 : x
  2. Step 2: Convert to fraction form
    232,039.48/320,194.92 = 128,676.64/x
  3. Step 3: Cross multiply
    232,039.48x = 320,194.92 × 128,676.64
  4. Step 4: Simplify right side
    232,039.48x = 41,201,606,450.67
  5. Step 5: Solve for x
    x = 41,201,606,450.67/232,039.48
  6. Step 6: Final answer
    x = 177,562.91

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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.