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Finding the Fourth Proportional to 302,101.94, 416,911.39 and 166,146.41

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Solution

The fourth proportional to 302,101.94, 416,911.39 and 166,146.41 is: 229,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,101.94 : 416,911.39 = 166,146.41 : x
  2. Step 2: Convert to fraction form
    302,101.94/416,911.39 = 166,146.41/x
  3. Step 3: Cross multiply
    302,101.94x = 416,911.39 × 166,146.41
  4. Step 4: Simplify right side
    302,101.94x = 69,268,328,236.69
  5. Step 5: Solve for x
    x = 69,268,328,236.69/302,101.94
  6. Step 6: Final answer
    x = 229,287.93

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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.