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Finding the Fourth Proportional to 210,021.96, 314,676.54 and 126,741

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Solution

The fourth proportional to 210,021.96, 314,676.54 and 126,741 is: 189,896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,021.96 : 314,676.54 = 126,741 : x
  2. Step 2: Convert to fraction form
    210,021.96/314,676.54 = 126,741/x
  3. Step 3: Cross multiply
    210,021.96x = 314,676.54 × 126,741
  4. Step 4: Simplify right side
    210,021.96x = 39,882,419,356.14
  5. Step 5: Solve for x
    x = 39,882,419,356.14/210,021.96
  6. Step 6: Final answer
    x = 189,896.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.