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Finding the Fourth Proportional to 299,137.33, 448,331.81 and 149,419.42

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Solution

The fourth proportional to 299,137.33, 448,331.81 and 149,419.42 is: 223,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,137.33 : 448,331.81 = 149,419.42 : x
  2. Step 2: Convert to fraction form
    299,137.33/448,331.81 = 149,419.42/x
  3. Step 3: Cross multiply
    299,137.33x = 448,331.81 × 149,419.42
  4. Step 4: Simplify right side
    299,137.33x = 66,989,477,149.82
  5. Step 5: Solve for x
    x = 66,989,477,149.82/299,137.33
  6. Step 6: Final answer
    x = 223,942.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.