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Finding the Fourth Proportional to 299,787.40, 449,902.90 and 142,016.20

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Solution

The fourth proportional to 299,787.40, 449,902.90 and 142,016.20 is: 213,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,787.40 : 449,902.90 = 142,016.20 : x
  2. Step 2: Convert to fraction form
    299,787.40/449,902.90 = 142,016.20/x
  3. Step 3: Cross multiply
    299,787.40x = 449,902.90 × 142,016.20
  4. Step 4: Simplify right side
    299,787.40x = 63,893,500,226.98
  5. Step 5: Solve for x
    x = 63,893,500,226.98/299,787.40
  6. Step 6: Final answer
    x = 213,129.37

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1.5x scale

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.