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Finding the Fourth Proportional to 259,924.80, 389,584.80 and 119,697.60

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Solution

The fourth proportional to 259,924.80, 389,584.80 and 119,697.60 is: 179,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,924.80 : 389,584.80 = 119,697.60 : x
  2. Step 2: Convert to fraction form
    259,924.80/389,584.80 = 119,697.60/x
  3. Step 3: Cross multiply
    259,924.80x = 389,584.80 × 119,697.60
  4. Step 4: Simplify right side
    259,924.80x = 46,632,365,556.48
  5. Step 5: Solve for x
    x = 46,632,365,556.48/259,924.80
  6. Step 6: Final answer
    x = 179,407.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.