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Finding the Fourth Proportional to 299,110.07, 412,771.92 and 164,974.07

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Solution

The fourth proportional to 299,110.07, 412,771.92 and 164,974.07 is: 227,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,110.07 : 412,771.92 = 164,974.07 : x
  2. Step 2: Convert to fraction form
    299,110.07/412,771.92 = 164,974.07/x
  3. Step 3: Cross multiply
    299,110.07x = 412,771.92 × 164,974.07
  4. Step 4: Simplify right side
    299,110.07x = 68,096,661,560.25
  5. Step 5: Solve for x
    x = 68,096,661,560.25/299,110.07
  6. Step 6: Final answer
    x = 227,664.23

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1.5x scale

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.