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Finding the Fourth Proportional to 265,696.45, 398,267.83 and 115,896.49

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Solution

The fourth proportional to 265,696.45, 398,267.83 and 115,896.49 is: 173,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,696.45 : 398,267.83 = 115,896.49 : x
  2. Step 2: Convert to fraction form
    265,696.45/398,267.83 = 115,896.49/x
  3. Step 3: Cross multiply
    265,696.45x = 398,267.83 × 115,896.49
  4. Step 4: Simplify right side
    265,696.45x = 46,157,843,576.92
  5. Step 5: Solve for x
    x = 46,157,843,576.92/265,696.45
  6. Step 6: Final answer
    x = 173,723.98

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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.