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Finding the Fourth Proportional to 206,596.20, 309,456.90 and 184,434.60

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Solution

The fourth proportional to 206,596.20, 309,456.90 and 184,434.60 is: 276,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,596.20 : 309,456.90 = 184,434.60 : x
  2. Step 2: Convert to fraction form
    206,596.20/309,456.90 = 184,434.60/x
  3. Step 3: Cross multiply
    206,596.20x = 309,456.90 × 184,434.60
  4. Step 4: Simplify right side
    206,596.20x = 57,074,559,568.74
  5. Step 5: Solve for x
    x = 57,074,559,568.74/206,596.20
  6. Step 6: Final answer
    x = 276,261.42

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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.