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Finding the Fourth Proportional to 313,183.76, 432,012.84 and 199,878.80

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Solution

The fourth proportional to 313,183.76, 432,012.84 and 199,878.80 is: 275,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,183.76 : 432,012.84 = 199,878.80 : x
  2. Step 2: Convert to fraction form
    313,183.76/432,012.84 = 199,878.80/x
  3. Step 3: Cross multiply
    313,183.76x = 432,012.84 × 199,878.80
  4. Step 4: Simplify right side
    313,183.76x = 86,350,208,043.79
  5. Step 5: Solve for x
    x = 86,350,208,043.79/313,183.76
  6. Step 6: Final answer
    x = 275,717.39

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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.