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Finding the Fourth Proportional to 299,703.14, 449,205.55 and 110,020.38

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Solution

The fourth proportional to 299,703.14, 449,205.55 and 110,020.38 is: 164,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,703.14 : 449,205.55 = 110,020.38 : x
  2. Step 2: Convert to fraction form
    299,703.14/449,205.55 = 110,020.38/x
  3. Step 3: Cross multiply
    299,703.14x = 449,205.55 × 110,020.38
  4. Step 4: Simplify right side
    299,703.14x = 49,421,763,349.54
  5. Step 5: Solve for x
    x = 49,421,763,349.54/299,703.14
  6. Step 6: Final answer
    x = 164,902.39

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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.