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Finding the Fourth Proportional to 252,604.89, 378,978.41 and 110,462.64

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Solution

The fourth proportional to 252,604.89, 378,978.41 and 110,462.64 is: 165,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,604.89 : 378,978.41 = 110,462.64 : x
  2. Step 2: Convert to fraction form
    252,604.89/378,978.41 = 110,462.64/x
  3. Step 3: Cross multiply
    252,604.89x = 378,978.41 × 110,462.64
  4. Step 4: Simplify right side
    252,604.89x = 41,862,955,119.29
  5. Step 5: Solve for x
    x = 41,862,955,119.29/252,604.89
  6. Step 6: Final answer
    x = 165,725.04

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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.