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Finding the Fourth Proportional to 232,249.32, 320,502.74 and 128,882.48

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Solution

The fourth proportional to 232,249.32, 320,502.74 and 128,882.48 is: 177,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,249.32 : 320,502.74 = 128,882.48 : x
  2. Step 2: Convert to fraction form
    232,249.32/320,502.74 = 128,882.48/x
  3. Step 3: Cross multiply
    232,249.32x = 320,502.74 × 128,882.48
  4. Step 4: Simplify right side
    232,249.32x = 41,307,187,978.00
  5. Step 5: Solve for x
    x = 41,307,187,978.00/232,249.32
  6. Step 6: Final answer
    x = 177,857.09

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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.