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Finding the Fourth Proportional to 263,655.48, 363,842.75 and 142,794

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Solution

The fourth proportional to 263,655.48, 363,842.75 and 142,794 is: 197,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,655.48 : 363,842.75 = 142,794 : x
  2. Step 2: Convert to fraction form
    263,655.48/363,842.75 = 142,794/x
  3. Step 3: Cross multiply
    263,655.48x = 363,842.75 × 142,794
  4. Step 4: Simplify right side
    263,655.48x = 51,954,560,929.53
  5. Step 5: Solve for x
    x = 51,954,560,929.53/263,655.48
  6. Step 6: Final answer
    x = 197,054.74

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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.