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Finding the Fourth Proportional to 263,594.80, 363,762.54 and 142,736.09

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Solution

The fourth proportional to 263,594.80, 363,762.54 and 142,736.09 is: 196,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,594.80 : 363,762.54 = 142,736.09 : x
  2. Step 2: Convert to fraction form
    263,594.80/363,762.54 = 142,736.09/x
  3. Step 3: Cross multiply
    263,594.80x = 363,762.54 × 142,736.09
  4. Step 4: Simplify right side
    263,594.80x = 51,922,042,648.07
  5. Step 5: Solve for x
    x = 51,922,042,648.07/263,594.80
  6. Step 6: Final answer
    x = 196,976.74

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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.