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Finding the Fourth Proportional to 302,093.51, 416,880.21 and 166,127.31

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Solution

The fourth proportional to 302,093.51, 416,880.21 and 166,127.31 is: 229,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,093.51 : 416,880.21 = 166,127.31 : x
  2. Step 2: Convert to fraction form
    302,093.51/416,880.21 = 166,127.31/x
  3. Step 3: Cross multiply
    302,093.51x = 416,880.21 × 166,127.31
  4. Step 4: Simplify right side
    302,093.51x = 69,255,187,879.54
  5. Step 5: Solve for x
    x = 69,255,187,879.54/302,093.51
  6. Step 6: Final answer
    x = 229,250.83

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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.