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Finding the Fourth Proportional to 206,800.10, 289,913.80 and 206,800.10

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Solution

The fourth proportional to 206,800.10, 289,913.80 and 206,800.10 is: 289,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,800.10 : 289,913.80 = 206,800.10 : x
  2. Step 2: Convert to fraction form
    206,800.10/289,913.80 = 206,800.10/x
  3. Step 3: Cross multiply
    206,800.10x = 289,913.80 × 206,800.10
  4. Step 4: Simplify right side
    206,800.10x = 59,954,202,831.38
  5. Step 5: Solve for x
    x = 59,954,202,831.38/206,800.10
  6. Step 6: Final answer
    x = 289,913.80

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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.