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Finding the Fourth Proportional to 206,364.55, 289,107.20 and 206,364.55

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Solution

The fourth proportional to 206,364.55, 289,107.20 and 206,364.55 is: 289,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,364.55 : 289,107.20 = 206,364.55 : x
  2. Step 2: Convert to fraction form
    206,364.55/289,107.20 = 206,364.55/x
  3. Step 3: Cross multiply
    206,364.55x = 289,107.20 × 206,364.55
  4. Step 4: Simplify right side
    206,364.55x = 59,661,477,229.76
  5. Step 5: Solve for x
    x = 59,661,477,229.76/206,364.55
  6. Step 6: Final answer
    x = 289,107.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.