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Finding the Fourth Proportional to 270,010.42, 405,072.90 and 92,469.76

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Solution

The fourth proportional to 270,010.42, 405,072.90 and 92,469.76 is: 138,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,010.42 : 405,072.90 = 92,469.76 : x
  2. Step 2: Convert to fraction form
    270,010.42/405,072.90 = 92,469.76/x
  3. Step 3: Cross multiply
    270,010.42x = 405,072.90 × 92,469.76
  4. Step 4: Simplify right side
    270,010.42x = 37,456,993,845.50
  5. Step 5: Solve for x
    x = 37,456,993,845.50/270,010.42
  6. Step 6: Final answer
    x = 138,724.25

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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.