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Finding the Fourth Proportional to 200,433.47, 300,664.24 and 80,490.41

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Solution

The fourth proportional to 200,433.47, 300,664.24 and 80,490.41 is: 120,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,433.47 : 300,664.24 = 80,490.41 : x
  2. Step 2: Convert to fraction form
    200,433.47/300,664.24 = 80,490.41/x
  3. Step 3: Cross multiply
    200,433.47x = 300,664.24 × 80,490.41
  4. Step 4: Simplify right side
    200,433.47x = 24,200,586,245.39
  5. Step 5: Solve for x
    x = 24,200,586,245.39/200,433.47
  6. Step 6: Final answer
    x = 120,741.24

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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.