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Finding the Fourth Proportional to 299,199, 412,894.68 and 165,063

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Solution

The fourth proportional to 299,199, 412,894.68 and 165,063 is: 227,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,199 : 412,894.68 = 165,063 : x
  2. Step 2: Convert to fraction form
    299,199/412,894.68 = 165,063/x
  3. Step 3: Cross multiply
    299,199x = 412,894.68 × 165,063
  4. Step 4: Simplify right side
    299,199x = 68,153,634,564.84
  5. Step 5: Solve for x
    x = 68,153,634,564.84/299,199
  6. Step 6: Final answer
    x = 227,786.97

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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.