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Finding the Fourth Proportional to 254,205.60, 381,745.80 and 136,107.60

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Solution

The fourth proportional to 254,205.60, 381,745.80 and 136,107.60 is: 204,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,205.60 : 381,745.80 = 136,107.60 : x
  2. Step 2: Convert to fraction form
    254,205.60/381,745.80 = 136,107.60/x
  3. Step 3: Cross multiply
    254,205.60x = 381,745.80 × 136,107.60
  4. Step 4: Simplify right side
    254,205.60x = 51,958,504,648.08
  5. Step 5: Solve for x
    x = 51,958,504,648.08/254,205.60
  6. Step 6: Final answer
    x = 204,395.59

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1.5x scale

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.