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Finding the Fourth Proportional to 299,841.06, 413,740.65 and 192,556.41

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Solution

The fourth proportional to 299,841.06, 413,740.65 and 192,556.41 is: 265,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,841.06 : 413,740.65 = 192,556.41 : x
  2. Step 2: Convert to fraction form
    299,841.06/413,740.65 = 192,556.41/x
  3. Step 3: Cross multiply
    299,841.06x = 413,740.65 × 192,556.41
  4. Step 4: Simplify right side
    299,841.06x = 79,668,414,235.07
  5. Step 5: Solve for x
    x = 79,668,414,235.07/299,841.06
  6. Step 6: Final answer
    x = 265,702.15

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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.