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Finding the Fourth Proportional to 231,997.40, 320,141.24 and 136,485.64

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Solution

The fourth proportional to 231,997.40, 320,141.24 and 136,485.64 is: 188,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,997.40 : 320,141.24 = 136,485.64 : x
  2. Step 2: Convert to fraction form
    231,997.40/320,141.24 = 136,485.64/x
  3. Step 3: Cross multiply
    231,997.40x = 320,141.24 × 136,485.64
  4. Step 4: Simplify right side
    231,997.40x = 43,694,682,031.79
  5. Step 5: Solve for x
    x = 43,694,682,031.79/231,997.40
  6. Step 6: Final answer
    x = 188,341.26

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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.