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Finding the Fourth Proportional to 203,414.80, 305,122.20 and 137,059.60

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Solution

The fourth proportional to 203,414.80, 305,122.20 and 137,059.60 is: 205,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,414.80 : 305,122.20 = 137,059.60 : x
  2. Step 2: Convert to fraction form
    203,414.80/305,122.20 = 137,059.60/x
  3. Step 3: Cross multiply
    203,414.80x = 305,122.20 × 137,059.60
  4. Step 4: Simplify right side
    203,414.80x = 41,819,926,683.12
  5. Step 5: Solve for x
    x = 41,819,926,683.12/203,414.80
  6. Step 6: Final answer
    x = 205,589.40

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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.