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Finding the Fourth Proportional to 230,912.96, 318,713.01 and 135,450.41

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Solution

The fourth proportional to 230,912.96, 318,713.01 and 135,450.41 is: 186,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,912.96 : 318,713.01 = 135,450.41 : x
  2. Step 2: Convert to fraction form
    230,912.96/318,713.01 = 135,450.41/x
  3. Step 3: Cross multiply
    230,912.96x = 318,713.01 × 135,450.41
  4. Step 4: Simplify right side
    230,912.96x = 43,169,807,876.83
  5. Step 5: Solve for x
    x = 43,169,807,876.83/230,912.96
  6. Step 6: Final answer
    x = 186,952.73

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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.