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Finding the Fourth Proportional to 225,976.86, 311,815.83 and 135,311.58

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Solution

The fourth proportional to 225,976.86, 311,815.83 and 135,311.58 is: 186,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,976.86 : 311,815.83 = 135,311.58 : x
  2. Step 2: Convert to fraction form
    225,976.86/311,815.83 = 135,311.58/x
  3. Step 3: Cross multiply
    225,976.86x = 311,815.83 × 135,311.58
  4. Step 4: Simplify right side
    225,976.86x = 42,192,292,626.31
  5. Step 5: Solve for x
    x = 42,192,292,626.31/225,976.86
  6. Step 6: Final answer
    x = 186,710.68

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