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Finding the Fourth Proportional to 206,707.88, 285,273.42 and 116,069.87

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Solution

The fourth proportional to 206,707.88, 285,273.42 and 116,069.87 is: 160,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,707.88 : 285,273.42 = 116,069.87 : x
  2. Step 2: Convert to fraction form
    206,707.88/285,273.42 = 116,069.87/x
  3. Step 3: Cross multiply
    206,707.88x = 285,273.42 × 116,069.87
  4. Step 4: Simplify right side
    206,707.88x = 33,111,648,773.86
  5. Step 5: Solve for x
    x = 33,111,648,773.86/206,707.88
  6. Step 6: Final answer
    x = 160,185.71

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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.