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Finding the Fourth Proportional to 225,693.60, 311,556.41 and 157,976.52

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Solution

The fourth proportional to 225,693.60, 311,556.41 and 157,976.52 is: 218,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,693.60 : 311,556.41 = 157,976.52 : x
  2. Step 2: Convert to fraction form
    225,693.60/311,556.41 = 157,976.52/x
  3. Step 3: Cross multiply
    225,693.60x = 311,556.41 × 157,976.52
  4. Step 4: Simplify right side
    225,693.60x = 49,218,597,435.49
  5. Step 5: Solve for x
    x = 49,218,597,435.49/225,693.60
  6. Step 6: Final answer
    x = 218,077.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.