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Finding the Fourth Proportional to 183,447.12, 275,198 and 65,108.54

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Solution

The fourth proportional to 183,447.12, 275,198 and 65,108.54 is: 97,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,447.12 : 275,198 = 65,108.54 : x
  2. Step 2: Convert to fraction form
    183,447.12/275,198 = 65,108.54/x
  3. Step 3: Cross multiply
    183,447.12x = 275,198 × 65,108.54
  4. Step 4: Simplify right side
    183,447.12x = 17,917,739,990.92
  5. Step 5: Solve for x
    x = 17,917,739,990.92/183,447.12
  6. Step 6: Final answer
    x = 97,672.51

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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.