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Finding the Fourth Proportional to 301,046.09, 415,443.33 and 165,082.19

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Solution

The fourth proportional to 301,046.09, 415,443.33 and 165,082.19 is: 227,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,046.09 : 415,443.33 = 165,082.19 : x
  2. Step 2: Convert to fraction form
    301,046.09/415,443.33 = 165,082.19/x
  3. Step 3: Cross multiply
    301,046.09x = 415,443.33 × 165,082.19
  4. Step 4: Simplify right side
    301,046.09x = 68,582,292,660.08
  5. Step 5: Solve for x
    x = 68,582,292,660.08/301,046.09
  6. Step 6: Final answer
    x = 227,813.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.