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Finding the Fourth Proportional to 206,034.92, 284,279.46 and 116,610.92

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Solution

The fourth proportional to 206,034.92, 284,279.46 and 116,610.92 is: 160,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,034.92 : 284,279.46 = 116,610.92 : x
  2. Step 2: Convert to fraction form
    206,034.92/284,279.46 = 116,610.92/x
  3. Step 3: Cross multiply
    206,034.92x = 284,279.46 × 116,610.92
  4. Step 4: Simplify right side
    206,034.92x = 33,150,089,367.70
  5. Step 5: Solve for x
    x = 33,150,089,367.70/206,034.92
  6. Step 6: Final answer
    x = 160,895.49

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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.