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Finding the Fourth Proportional to 299,722.20, 449,453.70 and 149,904.60

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Solution

The fourth proportional to 299,722.20, 449,453.70 and 149,904.60 is: 224,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,722.20 : 449,453.70 = 149,904.60 : x
  2. Step 2: Convert to fraction form
    299,722.20/449,453.70 = 149,904.60/x
  3. Step 3: Cross multiply
    299,722.20x = 449,453.70 × 149,904.60
  4. Step 4: Simplify right side
    299,722.20x = 67,375,177,117.02
  5. Step 5: Solve for x
    x = 67,375,177,117.02/299,722.20
  6. Step 6: Final answer
    x = 224,792.08

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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.