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Finding the Fourth Proportional to 263,712.46, 363,922.32 and 142,853.44

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Solution

The fourth proportional to 263,712.46, 363,922.32 and 142,853.44 is: 197,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,712.46 : 363,922.32 = 142,853.44 : x
  2. Step 2: Convert to fraction form
    263,712.46/363,922.32 = 142,853.44/x
  3. Step 3: Cross multiply
    263,712.46x = 363,922.32 × 142,853.44
  4. Step 4: Simplify right side
    263,712.46x = 51,987,555,304.78
  5. Step 5: Solve for x
    x = 51,987,555,304.78/263,712.46
  6. Step 6: Final answer
    x = 197,137.27

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1.5x scale

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.