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Finding the Fourth Proportional to 275,209.77, 379,614.66 and 198,841.08

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Solution

The fourth proportional to 275,209.77, 379,614.66 and 198,841.08 is: 274,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,209.77 : 379,614.66 = 198,841.08 : x
  2. Step 2: Convert to fraction form
    275,209.77/379,614.66 = 198,841.08/x
  3. Step 3: Cross multiply
    275,209.77x = 379,614.66 × 198,841.08
  4. Step 4: Simplify right side
    275,209.77x = 75,482,988,978.23
  5. Step 5: Solve for x
    x = 75,482,988,978.23/275,209.77
  6. Step 6: Final answer
    x = 274,274.38

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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.