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Finding the Fourth Proportional to 270,014.40, 405,021.60 and 181,540.80

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Solution

The fourth proportional to 270,014.40, 405,021.60 and 181,540.80 is: 272,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,014.40 : 405,021.60 = 181,540.80 : x
  2. Step 2: Convert to fraction form
    270,014.40/405,021.60 = 181,540.80/x
  3. Step 3: Cross multiply
    270,014.40x = 405,021.60 × 181,540.80
  4. Step 4: Simplify right side
    270,014.40x = 73,527,945,281.28
  5. Step 5: Solve for x
    x = 73,527,945,281.28/270,014.40
  6. Step 6: Final answer
    x = 272,311.20

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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.