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Finding the Fourth Proportional to 230,738.56, 318,359.04 and 135,193.92

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Solution

The fourth proportional to 230,738.56, 318,359.04 and 135,193.92 is: 186,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,738.56 : 318,359.04 = 135,193.92 : x
  2. Step 2: Convert to fraction form
    230,738.56/318,359.04 = 135,193.92/x
  3. Step 3: Cross multiply
    230,738.56x = 318,359.04 × 135,193.92
  4. Step 4: Simplify right side
    230,738.56x = 43,040,206,585.04
  5. Step 5: Solve for x
    x = 43,040,206,585.04/230,738.56
  6. Step 6: Final answer
    x = 186,532.35

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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.