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Finding the Fourth Proportional to 232,086.34, 320,203.38 and 135,268.00

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Solution

The fourth proportional to 232,086.34, 320,203.38 and 135,268.00 is: 186,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,086.34 : 320,203.38 = 135,268.00 : x
  2. Step 2: Convert to fraction form
    232,086.34/320,203.38 = 135,268.00/x
  3. Step 3: Cross multiply
    232,086.34x = 320,203.38 × 135,268.00
  4. Step 4: Simplify right side
    232,086.34x = 43,313,270,343.50
  5. Step 5: Solve for x
    x = 43,313,270,343.50/232,086.34
  6. Step 6: Final answer
    x = 186,625.68

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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.