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Finding the Fourth Proportional to 254,078.80, 350,650.28 and 140,938

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Solution

The fourth proportional to 254,078.80, 350,650.28 and 140,938 is: 194,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,078.80 : 350,650.28 = 140,938 : x
  2. Step 2: Convert to fraction form
    254,078.80/350,650.28 = 140,938/x
  3. Step 3: Cross multiply
    254,078.80x = 350,650.28 × 140,938
  4. Step 4: Simplify right side
    254,078.80x = 49,419,949,162.64
  5. Step 5: Solve for x
    x = 49,419,949,162.64/254,078.80
  6. Step 6: Final answer
    x = 194,506.39

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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.