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Finding the Fourth Proportional to 299,808.54, 448,816.14 and 181,120.05

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Solution

The fourth proportional to 299,808.54, 448,816.14 and 181,120.05 is: 271,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,808.54 : 448,816.14 = 181,120.05 : x
  2. Step 2: Convert to fraction form
    299,808.54/448,816.14 = 181,120.05/x
  3. Step 3: Cross multiply
    299,808.54x = 448,816.14 × 181,120.05
  4. Step 4: Simplify right side
    299,808.54x = 81,289,601,717.61
  5. Step 5: Solve for x
    x = 81,289,601,717.61/299,808.54
  6. Step 6: Final answer
    x = 271,138.38

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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.