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Finding the Fourth Proportional to 177,941.80, 266,847.90 and 89,165.80

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Solution

The fourth proportional to 177,941.80, 266,847.90 and 89,165.80 is: 133,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,941.80 : 266,847.90 = 89,165.80 : x
  2. Step 2: Convert to fraction form
    177,941.80/266,847.90 = 89,165.80/x
  3. Step 3: Cross multiply
    177,941.80x = 266,847.90 × 89,165.80
  4. Step 4: Simplify right side
    177,941.80x = 23,793,706,481.82
  5. Step 5: Solve for x
    x = 23,793,706,481.82/177,941.80
  6. Step 6: Final answer
    x = 133,716.23

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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.