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Finding the Fourth Proportional to 200,229.40, 300,344.10 and 181,858.60

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Solution

The fourth proportional to 200,229.40, 300,344.10 and 181,858.60 is: 272,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,229.40 : 300,344.10 = 181,858.60 : x
  2. Step 2: Convert to fraction form
    200,229.40/300,344.10 = 181,858.60/x
  3. Step 3: Cross multiply
    200,229.40x = 300,344.10 × 181,858.60
  4. Step 4: Simplify right side
    200,229.40x = 54,620,157,544.26
  5. Step 5: Solve for x
    x = 54,620,157,544.26/200,229.40
  6. Step 6: Final answer
    x = 272,787.90

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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.