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Finding the Fourth Proportional to 299,164.56, 448,941.24 and 159,021.60

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Solution

The fourth proportional to 299,164.56, 448,941.24 and 159,021.60 is: 238,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,164.56 : 448,941.24 = 159,021.60 : x
  2. Step 2: Convert to fraction form
    299,164.56/448,941.24 = 159,021.60/x
  3. Step 3: Cross multiply
    299,164.56x = 448,941.24 × 159,021.60
  4. Step 4: Simplify right side
    299,164.56x = 71,391,354,290.78
  5. Step 5: Solve for x
    x = 71,391,354,290.78/299,164.56
  6. Step 6: Final answer
    x = 238,635.73

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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.