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Finding the Fourth Proportional to 301,254.68, 415,735.62 and 165,286.10

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Solution

The fourth proportional to 301,254.68, 415,735.62 and 165,286.10 is: 228,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,254.68 : 415,735.62 = 165,286.10 : x
  2. Step 2: Convert to fraction form
    301,254.68/415,735.62 = 165,286.10/x
  3. Step 3: Cross multiply
    301,254.68x = 415,735.62 × 165,286.10
  4. Step 4: Simplify right side
    301,254.68x = 68,715,319,260.88
  5. Step 5: Solve for x
    x = 68,715,319,260.88/301,254.68
  6. Step 6: Final answer
    x = 228,097.10

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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.