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Finding the Fourth Proportional to 301,082.28, 415,499.26 and 165,107.60

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Solution

The fourth proportional to 301,082.28, 415,499.26 and 165,107.60 is: 227,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,082.28 : 415,499.26 = 165,107.60 : x
  2. Step 2: Convert to fraction form
    301,082.28/415,499.26 = 165,107.60/x
  3. Step 3: Cross multiply
    301,082.28x = 415,499.26 × 165,107.60
  4. Step 4: Simplify right side
    301,082.28x = 68,602,085,620.38
  5. Step 5: Solve for x
    x = 68,602,085,620.38/301,082.28
  6. Step 6: Final answer
    x = 227,851.62

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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.