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Finding the Fourth Proportional to 215,791.60, 323,734.10 and 82,671.85

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Solution

The fourth proportional to 215,791.60, 323,734.10 and 82,671.85 is: 124,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,791.60 : 323,734.10 = 82,671.85 : x
  2. Step 2: Convert to fraction form
    215,791.60/323,734.10 = 82,671.85/x
  3. Step 3: Cross multiply
    215,791.60x = 323,734.10 × 82,671.85
  4. Step 4: Simplify right side
    215,791.60x = 26,763,696,955.09
  5. Step 5: Solve for x
    x = 26,763,696,955.09/215,791.60
  6. Step 6: Final answer
    x = 124,025.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.