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Finding the Fourth Proportional to 177,791.80, 266,039.70 and 111,263.80

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Solution

The fourth proportional to 177,791.80, 266,039.70 and 111,263.80 is: 166,490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,791.80 : 266,039.70 = 111,263.80 : x
  2. Step 2: Convert to fraction form
    177,791.80/266,039.70 = 111,263.80/x
  3. Step 3: Cross multiply
    177,791.80x = 266,039.70 × 111,263.80
  4. Step 4: Simplify right side
    177,791.80x = 29,600,587,972.86
  5. Step 5: Solve for x
    x = 29,600,587,972.86/177,791.80
  6. Step 6: Final answer
    x = 166,490.18

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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.