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Finding the Fourth Proportional to 231,910.29, 320,029.53 and 135,135.54

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Solution

The fourth proportional to 231,910.29, 320,029.53 and 135,135.54 is: 186,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,910.29 : 320,029.53 = 135,135.54 : x
  2. Step 2: Convert to fraction form
    231,910.29/320,029.53 = 135,135.54/x
  3. Step 3: Cross multiply
    231,910.29x = 320,029.53 × 135,135.54
  4. Step 4: Simplify right side
    231,910.29x = 43,247,363,605.88
  5. Step 5: Solve for x
    x = 43,247,363,605.88/231,910.29
  6. Step 6: Final answer
    x = 186,483.16

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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.