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Finding the Fourth Proportional to 299,162.81, 412,837.44 and 171,846.59

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Solution

The fourth proportional to 299,162.81, 412,837.44 and 171,846.59 is: 237,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,162.81 : 412,837.44 = 171,846.59 : x
  2. Step 2: Convert to fraction form
    299,162.81/412,837.44 = 171,846.59/x
  3. Step 3: Cross multiply
    299,162.81x = 412,837.44 × 171,846.59
  4. Step 4: Simplify right side
    299,162.81x = 70,944,706,288.33
  5. Step 5: Solve for x
    x = 70,944,706,288.33/299,162.81
  6. Step 6: Final answer
    x = 237,144.14

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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.