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Finding the Fourth Proportional to 263,751.83, 363,977.61 and 142,893.95

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Solution

The fourth proportional to 263,751.83, 363,977.61 and 142,893.95 is: 197,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,751.83 : 363,977.61 = 142,893.95 : x
  2. Step 2: Convert to fraction form
    263,751.83/363,977.61 = 142,893.95/x
  3. Step 3: Cross multiply
    263,751.83x = 363,977.61 × 142,893.95
  4. Step 4: Simplify right side
    263,751.83x = 52,010,198,404.46
  5. Step 5: Solve for x
    x = 52,010,198,404.46/263,751.83
  6. Step 6: Final answer
    x = 197,193.70

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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.