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Finding the Fourth Proportional to 299,081.96, 412,721.70 and 164,945.96

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Solution

The fourth proportional to 299,081.96, 412,721.70 and 164,945.96 is: 227,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,081.96 : 412,721.70 = 164,945.96 : x
  2. Step 2: Convert to fraction form
    299,081.96/412,721.70 = 164,945.96/x
  3. Step 3: Cross multiply
    299,081.96x = 412,721.70 × 164,945.96
  4. Step 4: Simplify right side
    299,081.96x = 68,076,777,019.33
  5. Step 5: Solve for x
    x = 68,076,777,019.33/299,081.96
  6. Step 6: Final answer
    x = 227,619.13

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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.