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Finding the Fourth Proportional to 167,676.48, 231,410.52 and 96,066

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Solution

The fourth proportional to 167,676.48, 231,410.52 and 96,066 is: 132,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,676.48 : 231,410.52 = 96,066 : x
  2. Step 2: Convert to fraction form
    167,676.48/231,410.52 = 96,066/x
  3. Step 3: Cross multiply
    167,676.48x = 231,410.52 × 96,066
  4. Step 4: Simplify right side
    167,676.48x = 22,230,683,014.32
  5. Step 5: Solve for x
    x = 22,230,683,014.32/167,676.48
  6. Step 6: Final answer
    x = 132,580.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.