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Finding the Fourth Proportional to 149,550.30, 206,380.17 and 82,482.30

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Solution

The fourth proportional to 149,550.30, 206,380.17 and 82,482.30 is: 113,825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,550.30 : 206,380.17 = 82,482.30 : x
  2. Step 2: Convert to fraction form
    149,550.30/206,380.17 = 82,482.30/x
  3. Step 3: Cross multiply
    149,550.30x = 206,380.17 × 82,482.30
  4. Step 4: Simplify right side
    149,550.30x = 17,022,711,095.99
  5. Step 5: Solve for x
    x = 17,022,711,095.99/149,550.30
  6. Step 6: Final answer
    x = 113,825.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.