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Finding the Fourth Proportional to 254,340, 350,989.20 and 141,163.56

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Solution

The fourth proportional to 254,340, 350,989.20 and 141,163.56 is: 194,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,340 : 350,989.20 = 141,163.56 : x
  2. Step 2: Convert to fraction form
    254,340/350,989.20 = 141,163.56/x
  3. Step 3: Cross multiply
    254,340x = 350,989.20 × 141,163.56
  4. Step 4: Simplify right side
    254,340x = 49,546,884,993.55
  5. Step 5: Solve for x
    x = 49,546,884,993.55/254,340
  6. Step 6: Final answer
    x = 194,805.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.