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Finding the Fourth Proportional to 206,958.12, 311,820.12 and 186,990.82

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Solution

The fourth proportional to 206,958.12, 311,820.12 and 186,990.82 is: 281,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,958.12 : 311,820.12 = 186,990.82 : x
  2. Step 2: Convert to fraction form
    206,958.12/311,820.12 = 186,990.82/x
  3. Step 3: Cross multiply
    206,958.12x = 311,820.12 × 186,990.82
  4. Step 4: Simplify right side
    206,958.12x = 58,307,499,931.30
  5. Step 5: Solve for x
    x = 58,307,499,931.30/206,958.12
  6. Step 6: Final answer
    x = 281,735.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.