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Finding the Fourth Proportional to 232,424.71, 320,935.16 and 189,410.54

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Solution

The fourth proportional to 232,424.71, 320,935.16 and 189,410.54 is: 261,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,424.71 : 320,935.16 = 189,410.54 : x
  2. Step 2: Convert to fraction form
    232,424.71/320,935.16 = 189,410.54/x
  3. Step 3: Cross multiply
    232,424.71x = 320,935.16 × 189,410.54
  4. Step 4: Simplify right side
    232,424.71x = 60,788,500,829.44
  5. Step 5: Solve for x
    x = 60,788,500,829.44/232,424.71
  6. Step 6: Final answer
    x = 261,540.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.