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Finding the Fourth Proportional to 299,351.34, 449,086.18 and 109,813.48

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Solution

The fourth proportional to 299,351.34, 449,086.18 and 109,813.48 is: 164,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,351.34 : 449,086.18 = 109,813.48 : x
  2. Step 2: Convert to fraction form
    299,351.34/449,086.18 = 109,813.48/x
  3. Step 3: Cross multiply
    299,351.34x = 449,086.18 × 109,813.48
  4. Step 4: Simplify right side
    299,351.34x = 49,315,716,245.71
  5. Step 5: Solve for x
    x = 49,315,716,245.71/299,351.34
  6. Step 6: Final answer
    x = 164,741.93

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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.