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Finding the Fourth Proportional to 206,805.41, 310,473.77 and 159,450.59

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Solution

The fourth proportional to 206,805.41, 310,473.77 and 159,450.59 is: 239,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,805.41 : 310,473.77 = 159,450.59 : x
  2. Step 2: Convert to fraction form
    206,805.41/310,473.77 = 159,450.59/x
  3. Step 3: Cross multiply
    206,805.41x = 310,473.77 × 159,450.59
  4. Step 4: Simplify right side
    206,805.41x = 49,505,223,456.40
  5. Step 5: Solve for x
    x = 49,505,223,456.40/206,805.41
  6. Step 6: Final answer
    x = 239,380.70

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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.