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Finding the Fourth Proportional to 215,884.50, 323,828.82 and 82,733.10

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Solution

The fourth proportional to 215,884.50, 323,828.82 and 82,733.10 is: 124,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,884.50 : 323,828.82 = 82,733.10 : x
  2. Step 2: Convert to fraction form
    215,884.50/323,828.82 = 82,733.10/x
  3. Step 3: Cross multiply
    215,884.50x = 323,828.82 × 82,733.10
  4. Step 4: Simplify right side
    215,884.50x = 26,791,362,147.94
  5. Step 5: Solve for x
    x = 26,791,362,147.94/215,884.50
  6. Step 6: Final answer
    x = 124,100.44

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