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Finding the Fourth Proportional to 203,882.40, 305,823.60 and 140,896.80

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Solution

The fourth proportional to 203,882.40, 305,823.60 and 140,896.80 is: 211,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,882.40 : 305,823.60 = 140,896.80 : x
  2. Step 2: Convert to fraction form
    203,882.40/305,823.60 = 140,896.80/x
  3. Step 3: Cross multiply
    203,882.40x = 305,823.60 × 140,896.80
  4. Step 4: Simplify right side
    203,882.40x = 43,089,566,604.48
  5. Step 5: Solve for x
    x = 43,089,566,604.48/203,882.40
  6. Step 6: Final answer
    x = 211,345.20

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Why These Related Problems?

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