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Finding the Fourth Proportional to 299,886.05, 449,852.33 and 100,207.15

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Solution

The fourth proportional to 299,886.05, 449,852.33 and 100,207.15 is: 150,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,886.05 : 449,852.33 = 100,207.15 : x
  2. Step 2: Convert to fraction form
    299,886.05/449,852.33 = 100,207.15/x
  3. Step 3: Cross multiply
    299,886.05x = 449,852.33 × 100,207.15
  4. Step 4: Simplify right side
    299,886.05x = 45,078,419,910.16
  5. Step 5: Solve for x
    x = 45,078,419,910.16/299,886.05
  6. Step 6: Final answer
    x = 150,318.50

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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.