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Finding the Fourth Proportional to 271,289, 374,378.82 and 165,305

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Solution

The fourth proportional to 271,289, 374,378.82 and 165,305 is: 228,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,289 : 374,378.82 = 165,305 : x
  2. Step 2: Convert to fraction form
    271,289/374,378.82 = 165,305/x
  3. Step 3: Cross multiply
    271,289x = 374,378.82 × 165,305
  4. Step 4: Simplify right side
    271,289x = 61,886,690,840.10
  5. Step 5: Solve for x
    x = 61,886,690,840.10/271,289
  6. Step 6: Final answer
    x = 228,120.90

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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.