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Finding the Fourth Proportional to 273,394.82, 410,104.65 and 83,841.32

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Solution

The fourth proportional to 273,394.82, 410,104.65 and 83,841.32 is: 125,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,394.82 : 410,104.65 = 83,841.32 : x
  2. Step 2: Convert to fraction form
    273,394.82/410,104.65 = 83,841.32/x
  3. Step 3: Cross multiply
    273,394.82x = 410,104.65 × 83,841.32
  4. Step 4: Simplify right side
    273,394.82x = 34,383,713,143.61
  5. Step 5: Solve for x
    x = 34,383,713,143.61/273,394.82
  6. Step 6: Final answer
    x = 125,765.78

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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.