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Finding the Fourth Proportional to 133,906.68, 200,855.16 and 40,410

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Solution

The fourth proportional to 133,906.68, 200,855.16 and 40,410 is: 60,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,906.68 : 200,855.16 = 40,410 : x
  2. Step 2: Convert to fraction form
    133,906.68/200,855.16 = 40,410/x
  3. Step 3: Cross multiply
    133,906.68x = 200,855.16 × 40,410
  4. Step 4: Simplify right side
    133,906.68x = 8,116,557,015.60
  5. Step 5: Solve for x
    x = 8,116,557,015.60/133,906.68
  6. Step 6: Final answer
    x = 60,613.53

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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.