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Finding the Fourth Proportional to 188,084.76, 259,556.95 and 107,514.01

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Solution

The fourth proportional to 188,084.76, 259,556.95 and 107,514.01 is: 148,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,084.76 : 259,556.95 = 107,514.01 : x
  2. Step 2: Convert to fraction form
    188,084.76/259,556.95 = 107,514.01/x
  3. Step 3: Cross multiply
    188,084.76x = 259,556.95 × 107,514.01
  4. Step 4: Simplify right side
    188,084.76x = 27,906,008,976.71
  5. Step 5: Solve for x
    x = 27,906,008,976.71/188,084.76
  6. Step 6: Final answer
    x = 148,369.33

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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.