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Finding the Fourth Proportional to 302,101.38, 416,910.61 and 166,145.84

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Solution

The fourth proportional to 302,101.38, 416,910.61 and 166,145.84 is: 229,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,101.38 : 416,910.61 = 166,145.84 : x
  2. Step 2: Convert to fraction form
    302,101.38/416,910.61 = 166,145.84/x
  3. Step 3: Cross multiply
    302,101.38x = 416,910.61 × 166,145.84
  4. Step 4: Simplify right side
    302,101.38x = 69,267,964,362.47
  5. Step 5: Solve for x
    x = 69,267,964,362.47/302,101.38
  6. Step 6: Final answer
    x = 229,287.15

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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.