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Finding the Fourth Proportional to 133,894.44, 200,361.78 and 115,944.47

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Solution

The fourth proportional to 133,894.44, 200,361.78 and 115,944.47 is: 173,501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,894.44 : 200,361.78 = 115,944.47 : x
  2. Step 2: Convert to fraction form
    133,894.44/200,361.78 = 115,944.47/x
  3. Step 3: Cross multiply
    133,894.44x = 200,361.78 × 115,944.47
  4. Step 4: Simplify right side
    133,894.44x = 23,230,839,388.55
  5. Step 5: Solve for x
    x = 23,230,839,388.55/133,894.44
  6. Step 6: Final answer
    x = 173,501.15

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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.