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Finding the Fourth Proportional to 177,270, 265,755.86 and 82,452.02

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Solution

The fourth proportional to 177,270, 265,755.86 and 82,452.02 is: 123,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,270 : 265,755.86 = 82,452.02 : x
  2. Step 2: Convert to fraction form
    177,270/265,755.86 = 82,452.02/x
  3. Step 3: Cross multiply
    177,270x = 265,755.86 × 82,452.02
  4. Step 4: Simplify right side
    177,270x = 21,912,105,742.80
  5. Step 5: Solve for x
    x = 21,912,105,742.80/177,270
  6. Step 6: Final answer
    x = 123,608.65

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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.