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Finding the Fourth Proportional to 299,108.50, 412,778.37 and 164,981.14

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Solution

The fourth proportional to 299,108.50, 412,778.37 and 164,981.14 is: 227,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,108.50 : 412,778.37 = 164,981.14 : x
  2. Step 2: Convert to fraction form
    299,108.50/412,778.37 = 164,981.14/x
  3. Step 3: Cross multiply
    299,108.50x = 412,778.37 × 164,981.14
  4. Step 4: Simplify right side
    299,108.50x = 68,100,646,049.94
  5. Step 5: Solve for x
    x = 68,100,646,049.94/299,108.50
  6. Step 6: Final answer
    x = 227,678.74

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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.