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Finding the Fourth Proportional to 119,309.16, 178,959.61 and 30,563.54

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Solution

The fourth proportional to 119,309.16, 178,959.61 and 30,563.54 is: 45,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,309.16 : 178,959.61 = 30,563.54 : x
  2. Step 2: Convert to fraction form
    119,309.16/178,959.61 = 30,563.54/x
  3. Step 3: Cross multiply
    119,309.16x = 178,959.61 × 30,563.54
  4. Step 4: Simplify right side
    119,309.16x = 5,469,639,198.62
  5. Step 5: Solve for x
    x = 5,469,639,198.62/119,309.16
  6. Step 6: Final answer
    x = 45,844.25

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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.