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Finding the Fourth Proportional to 285,104.96, 427,375.20 and 135,080

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Solution

The fourth proportional to 285,104.96, 427,375.20 and 135,080 is: 202,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,104.96 : 427,375.20 = 135,080 : x
  2. Step 2: Convert to fraction form
    285,104.96/427,375.20 = 135,080/x
  3. Step 3: Cross multiply
    285,104.96x = 427,375.20 × 135,080
  4. Step 4: Simplify right side
    285,104.96x = 57,729,842,016
  5. Step 5: Solve for x
    x = 57,729,842,016/285,104.96
  6. Step 6: Final answer
    x = 202,486.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.