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Finding the Fourth Proportional to 232,197.89, 320,433.67 and 135,468.25

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Solution

The fourth proportional to 232,197.89, 320,433.67 and 135,468.25 is: 186,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,197.89 : 320,433.67 = 135,468.25 : x
  2. Step 2: Convert to fraction form
    232,197.89/320,433.67 = 135,468.25/x
  3. Step 3: Cross multiply
    232,197.89x = 320,433.67 × 135,468.25
  4. Step 4: Simplify right side
    232,197.89x = 43,408,587,134.13
  5. Step 5: Solve for x
    x = 43,408,587,134.13/232,197.89
  6. Step 6: Final answer
    x = 186,946.52

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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.