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Finding the Fourth Proportional to 206,414.40, 309,621.60 and 101,438.40

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Solution

The fourth proportional to 206,414.40, 309,621.60 and 101,438.40 is: 152,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,414.40 : 309,621.60 = 101,438.40 : x
  2. Step 2: Convert to fraction form
    206,414.40/309,621.60 = 101,438.40/x
  3. Step 3: Cross multiply
    206,414.40x = 309,621.60 × 101,438.40
  4. Step 4: Simplify right side
    206,414.40x = 31,407,519,709.44
  5. Step 5: Solve for x
    x = 31,407,519,709.44/206,414.40
  6. Step 6: Final answer
    x = 152,157.60

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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.