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Finding the Fourth Proportional to 177,559.72, 265,976.70 and 82,646.44

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Solution

The fourth proportional to 177,559.72, 265,976.70 and 82,646.44 is: 123,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,559.72 : 265,976.70 = 82,646.44 : x
  2. Step 2: Convert to fraction form
    177,559.72/265,976.70 = 82,646.44/x
  3. Step 3: Cross multiply
    177,559.72x = 265,976.70 × 82,646.44
  4. Step 4: Simplify right side
    177,559.72x = 21,982,027,377.95
  5. Step 5: Solve for x
    x = 21,982,027,377.95/177,559.72
  6. Step 6: Final answer
    x = 123,800.75

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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.