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Finding the Fourth Proportional to 299,106, 412,795.44 and 164,970

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Solution

The fourth proportional to 299,106, 412,795.44 and 164,970 is: 227,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,106 : 412,795.44 = 164,970 : x
  2. Step 2: Convert to fraction form
    299,106/412,795.44 = 164,970/x
  3. Step 3: Cross multiply
    299,106x = 412,795.44 × 164,970
  4. Step 4: Simplify right side
    299,106x = 68,098,863,736.80
  5. Step 5: Solve for x
    x = 68,098,863,736.80/299,106
  6. Step 6: Final answer
    x = 227,674.68

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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.