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Finding the Fourth Proportional to 263,702.15, 363,910.71 and 142,843.44

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Solution

The fourth proportional to 263,702.15, 363,910.71 and 142,843.44 is: 197,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,702.15 : 363,910.71 = 142,843.44 : x
  2. Step 2: Convert to fraction form
    263,702.15/363,910.71 = 142,843.44/x
  3. Step 3: Cross multiply
    263,702.15x = 363,910.71 × 142,843.44
  4. Step 4: Simplify right side
    263,702.15x = 51,982,256,840.24
  5. Step 5: Solve for x
    x = 51,982,256,840.24/263,702.15
  6. Step 6: Final answer
    x = 197,124.89

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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.