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Finding the Fourth Proportional to 299,350.34, 449,084.68 and 109,812.48

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Solution

The fourth proportional to 299,350.34, 449,084.68 and 109,812.48 is: 164,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,350.34 : 449,084.68 = 109,812.48 : x
  2. Step 2: Convert to fraction form
    299,350.34/449,084.68 = 109,812.48/x
  3. Step 3: Cross multiply
    299,350.34x = 449,084.68 × 109,812.48
  4. Step 4: Simplify right side
    299,350.34x = 49,315,102,440.81
  5. Step 5: Solve for x
    x = 49,315,102,440.81/299,350.34
  6. Step 6: Final answer
    x = 164,740.43

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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.