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Finding the Fourth Proportional to 231,923, 320,053.74 and 131,321

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Solution

The fourth proportional to 231,923, 320,053.74 and 131,321 is: 181,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,923 : 320,053.74 = 131,321 : x
  2. Step 2: Convert to fraction form
    231,923/320,053.74 = 131,321/x
  3. Step 3: Cross multiply
    231,923x = 320,053.74 × 131,321
  4. Step 4: Simplify right side
    231,923x = 42,029,777,190.54
  5. Step 5: Solve for x
    x = 42,029,777,190.54/231,923
  6. Step 6: Final answer
    x = 181,222.98

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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.