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Finding the Fourth Proportional to 206,114.40, 309,171.60 and 185,775.30

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Solution

The fourth proportional to 206,114.40, 309,171.60 and 185,775.30 is: 278,662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,114.40 : 309,171.60 = 185,775.30 : x
  2. Step 2: Convert to fraction form
    206,114.40/309,171.60 = 185,775.30/x
  3. Step 3: Cross multiply
    206,114.40x = 309,171.60 × 185,775.30
  4. Step 4: Simplify right side
    206,114.40x = 57,436,446,741.48
  5. Step 5: Solve for x
    x = 57,436,446,741.48/206,114.40
  6. Step 6: Final answer
    x = 278,662.95

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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.