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Finding the Fourth Proportional to 177,894.80, 266,194.20 and 111,366.80

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Solution

The fourth proportional to 177,894.80, 266,194.20 and 111,366.80 is: 166,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,894.80 : 266,194.20 = 111,366.80 : x
  2. Step 2: Convert to fraction form
    177,894.80/266,194.20 = 111,366.80/x
  3. Step 3: Cross multiply
    177,894.80x = 266,194.20 × 111,366.80
  4. Step 4: Simplify right side
    177,894.80x = 29,645,196,232.56
  5. Step 5: Solve for x
    x = 29,645,196,232.56/177,894.80
  6. Step 6: Final answer
    x = 166,644.54

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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.