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Finding the Fourth Proportional to 232,018.29, 320,179.39 and 135,215.87

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Solution

The fourth proportional to 232,018.29, 320,179.39 and 135,215.87 is: 186,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,018.29 : 320,179.39 = 135,215.87 : x
  2. Step 2: Convert to fraction form
    232,018.29/320,179.39 = 135,215.87/x
  3. Step 3: Cross multiply
    232,018.29x = 320,179.39 × 135,215.87
  4. Step 4: Simplify right side
    232,018.29x = 43,293,332,835.98
  5. Step 5: Solve for x
    x = 43,293,332,835.98/232,018.29
  6. Step 6: Final answer
    x = 186,594.48

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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.