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Finding the Fourth Proportional to 230,772.66, 318,469.23 and 135,255.30

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Solution

The fourth proportional to 230,772.66, 318,469.23 and 135,255.30 is: 186,654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,772.66 : 318,469.23 = 135,255.30 : x
  2. Step 2: Convert to fraction form
    230,772.66/318,469.23 = 135,255.30/x
  3. Step 3: Cross multiply
    230,772.66x = 318,469.23 × 135,255.30
  4. Step 4: Simplify right side
    230,772.66x = 43,074,651,244.42
  5. Step 5: Solve for x
    x = 43,074,651,244.42/230,772.66
  6. Step 6: Final answer
    x = 186,654.05

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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.