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Finding the Fourth Proportional to 230,593.30, 318,265.41 and 135,181.78

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Solution

The fourth proportional to 230,593.30, 318,265.41 and 135,181.78 is: 186,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,593.30 : 318,265.41 = 135,181.78 : x
  2. Step 2: Convert to fraction form
    230,593.30/318,265.41 = 135,181.78/x
  3. Step 3: Cross multiply
    230,593.30x = 318,265.41 × 135,181.78
  4. Step 4: Simplify right side
    230,593.30x = 43,023,684,636.23
  5. Step 5: Solve for x
    x = 43,023,684,636.23/230,593.30
  6. Step 6: Final answer
    x = 186,578.21

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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.