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Finding the Fourth Proportional to 301,081.28, 415,497.87 and 165,106.60

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Solution

The fourth proportional to 301,081.28, 415,497.87 and 165,106.60 is: 227,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,081.28 : 415,497.87 = 165,106.60 : x
  2. Step 2: Convert to fraction form
    301,081.28/415,497.87 = 165,106.60/x
  3. Step 3: Cross multiply
    301,081.28x = 415,497.87 × 165,106.60
  4. Step 4: Simplify right side
    301,081.28x = 68,601,440,622.94
  5. Step 5: Solve for x
    x = 68,601,440,622.94/301,081.28
  6. Step 6: Final answer
    x = 227,850.24

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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.