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Finding the Fourth Proportional to 189,771.33, 284,736.12 and 83,231.84

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Solution

The fourth proportional to 189,771.33, 284,736.12 and 83,231.84 is: 124,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,771.33 : 284,736.12 = 83,231.84 : x
  2. Step 2: Convert to fraction form
    189,771.33/284,736.12 = 83,231.84/x
  3. Step 3: Cross multiply
    189,771.33x = 284,736.12 × 83,231.84
  4. Step 4: Simplify right side
    189,771.33x = 23,699,110,865.67
  5. Step 5: Solve for x
    x = 23,699,110,865.67/189,771.33
  6. Step 6: Final answer
    x = 124,882.46

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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.