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Finding the Fourth Proportional to 214,301.96, 321,271.42 and 131,021

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Solution

The fourth proportional to 214,301.96, 321,271.42 and 131,021 is: 196,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,301.96 : 321,271.42 = 131,021 : x
  2. Step 2: Convert to fraction form
    214,301.96/321,271.42 = 131,021/x
  3. Step 3: Cross multiply
    214,301.96x = 321,271.42 × 131,021
  4. Step 4: Simplify right side
    214,301.96x = 42,093,302,719.82
  5. Step 5: Solve for x
    x = 42,093,302,719.82/214,301.96
  6. Step 6: Final answer
    x = 196,420.52

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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.