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Finding the Fourth Proportional to 232,044.48, 320,201.51 and 128,682

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Solution

The fourth proportional to 232,044.48, 320,201.51 and 128,682 is: 177,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,044.48 : 320,201.51 = 128,682 : x
  2. Step 2: Convert to fraction form
    232,044.48/320,201.51 = 128,682/x
  3. Step 3: Cross multiply
    232,044.48x = 320,201.51 × 128,682
  4. Step 4: Simplify right side
    232,044.48x = 41,204,170,066.41
  5. Step 5: Solve for x
    x = 41,204,170,066.41/232,044.48
  6. Step 6: Final answer
    x = 177,570.14

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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.