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Finding the Fourth Proportional to 254,464.40, 381,696.60 and 149,229.20

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Solution

The fourth proportional to 254,464.40, 381,696.60 and 149,229.20 is: 223,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,464.40 : 381,696.60 = 149,229.20 : x
  2. Step 2: Convert to fraction form
    254,464.40/381,696.60 = 149,229.20/x
  3. Step 3: Cross multiply
    254,464.40x = 381,696.60 × 149,229.20
  4. Step 4: Simplify right side
    254,464.40x = 56,960,278,260.72
  5. Step 5: Solve for x
    x = 56,960,278,260.72/254,464.40
  6. Step 6: Final answer
    x = 223,843.80

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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.