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Finding the Fourth Proportional to 299,118.07, 412,782.96 and 164,982.07

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Solution

The fourth proportional to 299,118.07, 412,782.96 and 164,982.07 is: 227,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,118.07 : 412,782.96 = 164,982.07 : x
  2. Step 2: Convert to fraction form
    299,118.07/412,782.96 = 164,982.07/x
  3. Step 3: Cross multiply
    299,118.07x = 412,782.96 × 164,982.07
  4. Step 4: Simplify right side
    299,118.07x = 68,101,787,201.53
  5. Step 5: Solve for x
    x = 68,101,787,201.53/299,118.07
  6. Step 6: Final answer
    x = 227,675.27

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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.