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Finding the Fourth Proportional to 206,813.10, 289,932 and 206,813.10

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Solution

The fourth proportional to 206,813.10, 289,932 and 206,813.10 is: 289,932

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,813.10 : 289,932 = 206,813.10 : x
  2. Step 2: Convert to fraction form
    206,813.10/289,932 = 206,813.10/x
  3. Step 3: Cross multiply
    206,813.10x = 289,932 × 206,813.10
  4. Step 4: Simplify right side
    206,813.10x = 59,961,735,709.20
  5. Step 5: Solve for x
    x = 59,961,735,709.20/206,813.10
  6. Step 6: Final answer
    x = 289,932

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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.