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Finding the Fourth Proportional to 273,374.75, 410,074.48 and 83,821.29

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Solution

The fourth proportional to 273,374.75, 410,074.48 and 83,821.29 is: 125,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,374.75 : 410,074.48 = 83,821.29 : x
  2. Step 2: Convert to fraction form
    273,374.75/410,074.48 = 83,821.29/x
  3. Step 3: Cross multiply
    273,374.75x = 410,074.48 × 83,821.29
  4. Step 4: Simplify right side
    273,374.75x = 34,372,970,476.68
  5. Step 5: Solve for x
    x = 34,372,970,476.68/273,374.75
  6. Step 6: Final answer
    x = 125,735.72

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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.