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Finding the Fourth Proportional to 270,392.96, 405,268 and 126,104.96

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Solution

The fourth proportional to 270,392.96, 405,268 and 126,104.96 is: 189,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,392.96 : 405,268 = 126,104.96 : x
  2. Step 2: Convert to fraction form
    270,392.96/405,268 = 126,104.96/x
  3. Step 3: Cross multiply
    270,392.96x = 405,268 × 126,104.96
  4. Step 4: Simplify right side
    270,392.96x = 51,106,304,929.28
  5. Step 5: Solve for x
    x = 51,106,304,929.28/270,392.96
  6. Step 6: Final answer
    x = 189,007.53

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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.