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Finding the Fourth Proportional to 177,894.97, 266,930.10 and 83,131.68

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Solution

The fourth proportional to 177,894.97, 266,930.10 and 83,131.68 is: 124,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,894.97 : 266,930.10 = 83,131.68 : x
  2. Step 2: Convert to fraction form
    177,894.97/266,930.10 = 83,131.68/x
  3. Step 3: Cross multiply
    177,894.97x = 266,930.10 × 83,131.68
  4. Step 4: Simplify right side
    177,894.97x = 22,190,348,656.56
  5. Step 5: Solve for x
    x = 22,190,348,656.56/177,894.97
  6. Step 6: Final answer
    x = 124,738.48

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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.