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Finding the Fourth Proportional to 200,810.73, 301,511.35 and 82,712.73

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Solution

The fourth proportional to 200,810.73, 301,511.35 and 82,712.73 is: 124,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,810.73 : 301,511.35 = 82,712.73 : x
  2. Step 2: Convert to fraction form
    200,810.73/301,511.35 = 82,712.73/x
  3. Step 3: Cross multiply
    200,810.73x = 301,511.35 × 82,712.73
  4. Step 4: Simplify right side
    200,810.73x = 24,938,826,884.49
  5. Step 5: Solve for x
    x = 24,938,826,884.49/200,810.73
  6. Step 6: Final answer
    x = 124,190.71

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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.