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Finding the Fourth Proportional to 299,167.56, 449,055.63 and 149,515.20

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Solution

The fourth proportional to 299,167.56, 449,055.63 and 149,515.20 is: 224,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,167.56 : 449,055.63 = 149,515.20 : x
  2. Step 2: Convert to fraction form
    299,167.56/449,055.63 = 149,515.20/x
  3. Step 3: Cross multiply
    299,167.56x = 449,055.63 × 149,515.20
  4. Step 4: Simplify right side
    299,167.56x = 67,140,642,330.58
  5. Step 5: Solve for x
    x = 67,140,642,330.58/299,167.56
  6. Step 6: Final answer
    x = 224,424.88

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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.