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Finding the Fourth Proportional to 271,804.68, 407,546.03 and 82,207.58

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Solution

The fourth proportional to 271,804.68, 407,546.03 and 82,207.58 is: 123,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,804.68 : 407,546.03 = 82,207.58 : x
  2. Step 2: Convert to fraction form
    271,804.68/407,546.03 = 82,207.58/x
  3. Step 3: Cross multiply
    271,804.68x = 407,546.03 × 82,207.58
  4. Step 4: Simplify right side
    271,804.68x = 33,503,371,032.70
  5. Step 5: Solve for x
    x = 33,503,371,032.70/271,804.68
  6. Step 6: Final answer
    x = 123,262.67

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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.