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Finding the Fourth Proportional to 230,546.56, 318,180 and 135,133.96

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Solution

The fourth proportional to 230,546.56, 318,180 and 135,133.96 is: 186,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,546.56 : 318,180 = 135,133.96 : x
  2. Step 2: Convert to fraction form
    230,546.56/318,180 = 135,133.96/x
  3. Step 3: Cross multiply
    230,546.56x = 318,180 × 135,133.96
  4. Step 4: Simplify right side
    230,546.56x = 42,996,923,392.80
  5. Step 5: Solve for x
    x = 42,996,923,392.80/230,546.56
  6. Step 6: Final answer
    x = 186,499.96

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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.