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Finding the Fourth Proportional to 206,813.44, 285,402.70 and 116,169.44

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Solution

The fourth proportional to 206,813.44, 285,402.70 and 116,169.44 is: 160,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,813.44 : 285,402.70 = 116,169.44 : x
  2. Step 2: Convert to fraction form
    206,813.44/285,402.70 = 116,169.44/x
  3. Step 3: Cross multiply
    206,813.44x = 285,402.70 × 116,169.44
  4. Step 4: Simplify right side
    206,813.44x = 33,155,071,833.49
  5. Step 5: Solve for x
    x = 33,155,071,833.49/206,813.44
  6. Step 6: Final answer
    x = 160,313.91

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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.