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Finding the Fourth Proportional to 301,098.24, 415,523.20 and 165,137.60

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Solution

The fourth proportional to 301,098.24, 415,523.20 and 165,137.60 is: 227,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098.24 : 415,523.20 = 165,137.60 : x
  2. Step 2: Convert to fraction form
    301,098.24/415,523.20 = 165,137.60/x
  3. Step 3: Cross multiply
    301,098.24x = 415,523.20 × 165,137.60
  4. Step 4: Simplify right side
    301,098.24x = 68,618,503,992.32
  5. Step 5: Solve for x
    x = 68,618,503,992.32/301,098.24
  6. Step 6: Final answer
    x = 227,894.07

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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.