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Finding the Fourth Proportional to 231,795.96, 319,928.34 and 141,181.80

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Solution

The fourth proportional to 231,795.96, 319,928.34 and 141,181.80 is: 194,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,795.96 : 319,928.34 = 141,181.80 : x
  2. Step 2: Convert to fraction form
    231,795.96/319,928.34 = 141,181.80/x
  3. Step 3: Cross multiply
    231,795.96x = 319,928.34 × 141,181.80
  4. Step 4: Simplify right side
    231,795.96x = 45,168,058,912.21
  5. Step 5: Solve for x
    x = 45,168,058,912.21/231,795.96
  6. Step 6: Final answer
    x = 194,861.29

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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.