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Finding the Fourth Proportional to 175,731, 263,676.83 and 95,649

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Solution

The fourth proportional to 175,731, 263,676.83 and 95,649 is: 143,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,731 : 263,676.83 = 95,649 : x
  2. Step 2: Convert to fraction form
    175,731/263,676.83 = 95,649/x
  3. Step 3: Cross multiply
    175,731x = 263,676.83 × 95,649
  4. Step 4: Simplify right side
    175,731x = 25,220,424,634.43
  5. Step 5: Solve for x
    x = 25,220,424,634.43/175,731
  6. Step 6: Final answer
    x = 143,517.22

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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.