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Finding the Fourth Proportional to 256,182.45, 353,244.24 and 165,419.21

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Solution

The fourth proportional to 256,182.45, 353,244.24 and 165,419.21 is: 228,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,182.45 : 353,244.24 = 165,419.21 : x
  2. Step 2: Convert to fraction form
    256,182.45/353,244.24 = 165,419.21/x
  3. Step 3: Cross multiply
    256,182.45x = 353,244.24 × 165,419.21
  4. Step 4: Simplify right side
    256,182.45x = 58,433,384,000.96
  5. Step 5: Solve for x
    x = 58,433,384,000.96/256,182.45
  6. Step 6: Final answer
    x = 228,092.85

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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.