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Finding the Fourth Proportional to 232,408.26, 320,723.40 and 131,806.26

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Solution

The fourth proportional to 232,408.26, 320,723.40 and 131,806.26 is: 181,892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,408.26 : 320,723.40 = 131,806.26 : x
  2. Step 2: Convert to fraction form
    232,408.26/320,723.40 = 131,806.26/x
  3. Step 3: Cross multiply
    232,408.26x = 320,723.40 × 131,806.26
  4. Step 4: Simplify right side
    232,408.26x = 42,273,351,848.48
  5. Step 5: Solve for x
    x = 42,273,351,848.48/232,408.26
  6. Step 6: Final answer
    x = 181,892.64

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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.