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Finding the Fourth Proportional to 226,741.20, 340,111.80 and 200,497.20

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Solution

The fourth proportional to 226,741.20, 340,111.80 and 200,497.20 is: 300,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,741.20 : 340,111.80 = 200,497.20 : x
  2. Step 2: Convert to fraction form
    226,741.20/340,111.80 = 200,497.20/x
  3. Step 3: Cross multiply
    226,741.20x = 340,111.80 × 200,497.20
  4. Step 4: Simplify right side
    226,741.20x = 68,191,463,586.96
  5. Step 5: Solve for x
    x = 68,191,463,586.96/226,741.20
  6. Step 6: Final answer
    x = 300,745.80

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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.