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Finding the Fourth Proportional to 299,233, 412,941.54 and 165,097

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Solution

The fourth proportional to 299,233, 412,941.54 and 165,097 is: 227,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,233 : 412,941.54 = 165,097 : x
  2. Step 2: Convert to fraction form
    299,233/412,941.54 = 165,097/x
  3. Step 3: Cross multiply
    299,233x = 412,941.54 × 165,097
  4. Step 4: Simplify right side
    299,233x = 68,175,409,429.38
  5. Step 5: Solve for x
    x = 68,175,409,429.38/299,233
  6. Step 6: Final answer
    x = 227,833.86

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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.