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Finding the Fourth Proportional to 197,893.56, 296,771.22 and 119,021.88

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Solution

The fourth proportional to 197,893.56, 296,771.22 and 119,021.88 is: 178,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,893.56 : 296,771.22 = 119,021.88 : x
  2. Step 2: Convert to fraction form
    197,893.56/296,771.22 = 119,021.88/x
  3. Step 3: Cross multiply
    197,893.56x = 296,771.22 × 119,021.88
  4. Step 4: Simplify right side
    197,893.56x = 35,322,268,534.29
  5. Step 5: Solve for x
    x = 35,322,268,534.29/197,893.56
  6. Step 6: Final answer
    x = 178,491.25

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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.