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Finding the Fourth Proportional to 263,751.94, 363,977.76 and 142,894

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Solution

The fourth proportional to 263,751.94, 363,977.76 and 142,894 is: 197,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,751.94 : 363,977.76 = 142,894 : x
  2. Step 2: Convert to fraction form
    263,751.94/363,977.76 = 142,894/x
  3. Step 3: Cross multiply
    263,751.94x = 363,977.76 × 142,894
  4. Step 4: Simplify right side
    263,751.94x = 52,010,238,037.44
  5. Step 5: Solve for x
    x = 52,010,238,037.44/263,751.94
  6. Step 6: Final answer
    x = 197,193.76

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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.