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Finding the Fourth Proportional to 269,375.76, 403,976.16 and 127,199.04

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Solution

The fourth proportional to 269,375.76, 403,976.16 and 127,199.04 is: 190,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,375.76 : 403,976.16 = 127,199.04 : x
  2. Step 2: Convert to fraction form
    269,375.76/403,976.16 = 127,199.04/x
  3. Step 3: Cross multiply
    269,375.76x = 403,976.16 × 127,199.04
  4. Step 4: Simplify right side
    269,375.76x = 51,385,379,734.89
  5. Step 5: Solve for x
    x = 51,385,379,734.89/269,375.76
  6. Step 6: Final answer
    x = 190,757.25

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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.