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Finding the Fourth Proportional to 218,352.36, 327,668.60 and 105,971.24

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Solution

The fourth proportional to 218,352.36, 327,668.60 and 105,971.24 is: 159,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,352.36 : 327,668.60 = 105,971.24 : x
  2. Step 2: Convert to fraction form
    218,352.36/327,668.60 = 105,971.24/x
  3. Step 3: Cross multiply
    218,352.36x = 327,668.60 × 105,971.24
  4. Step 4: Simplify right side
    218,352.36x = 34,723,447,241.05
  5. Step 5: Solve for x
    x = 34,723,447,241.05/218,352.36
  6. Step 6: Final answer
    x = 159,024.83

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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.