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Finding the Fourth Proportional to 232,207.36, 320,449.60 and 135,408.53

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Solution

The fourth proportional to 232,207.36, 320,449.60 and 135,408.53 is: 186,865.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,207.36 : 320,449.60 = 135,408.53 : x
  2. Step 2: Convert to fraction form
    232,207.36/320,449.60 = 135,408.53/x
  3. Step 3: Cross multiply
    232,207.36x = 320,449.60 × 135,408.53
  4. Step 4: Simplify right side
    232,207.36x = 43,391,607,334.32
  5. Step 5: Solve for x
    x = 43,391,607,334.32/232,207.36
  6. Step 6: Final answer
    x = 186,865.77

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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.