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Finding the Fourth Proportional to 206,813.60, 310,293.30 and 199,523.60

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Solution

The fourth proportional to 206,813.60, 310,293.30 and 199,523.60 is: 299,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,813.60 : 310,293.30 = 199,523.60 : x
  2. Step 2: Convert to fraction form
    206,813.60/310,293.30 = 199,523.60/x
  3. Step 3: Cross multiply
    206,813.60x = 310,293.30 × 199,523.60
  4. Step 4: Simplify right side
    206,813.60x = 61,910,836,271.88
  5. Step 5: Solve for x
    x = 61,910,836,271.88/206,813.60
  6. Step 6: Final answer
    x = 299,355.73

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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.