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Finding the Fourth Proportional to 302,102.94, 416,912.77 and 166,147.41

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Solution

The fourth proportional to 302,102.94, 416,912.77 and 166,147.41 is: 229,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,102.94 : 416,912.77 = 166,147.41 : x
  2. Step 2: Convert to fraction form
    302,102.94/416,912.77 = 166,147.41/x
  3. Step 3: Cross multiply
    302,102.94x = 416,912.77 × 166,147.41
  4. Step 4: Simplify right side
    302,102.94x = 69,268,976,931.43
  5. Step 5: Solve for x
    x = 69,268,976,931.43/302,102.94
  6. Step 6: Final answer
    x = 229,289.32

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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.