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Finding the Fourth Proportional to 299,104.79, 412,769.09 and 163,138.24

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Solution

The fourth proportional to 299,104.79, 412,769.09 and 163,138.24 is: 225,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,104.79 : 412,769.09 = 163,138.24 : x
  2. Step 2: Convert to fraction form
    299,104.79/412,769.09 = 163,138.24/x
  3. Step 3: Cross multiply
    299,104.79x = 412,769.09 × 163,138.24
  4. Step 4: Simplify right side
    299,104.79x = 67,338,421,021.39
  5. Step 5: Solve for x
    x = 67,338,421,021.39/299,104.79
  6. Step 6: Final answer
    x = 225,133.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.