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Finding the Fourth Proportional to 206,535.71, 309,147.45 and 111,630.84

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Solution

The fourth proportional to 206,535.71, 309,147.45 and 111,630.84 is: 167,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,535.71 : 309,147.45 = 111,630.84 : x
  2. Step 2: Convert to fraction form
    206,535.71/309,147.45 = 111,630.84/x
  3. Step 3: Cross multiply
    206,535.71x = 309,147.45 × 111,630.84
  4. Step 4: Simplify right side
    206,535.71x = 34,510,389,527.36
  5. Step 5: Solve for x
    x = 34,510,389,527.36/206,535.71
  6. Step 6: Final answer
    x = 167,091.64

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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.