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Finding the Fourth Proportional to 273,741.31, 410,612.91 and 84,200.39

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Solution

The fourth proportional to 273,741.31, 410,612.91 and 84,200.39 is: 126,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,741.31 : 410,612.91 = 84,200.39 : x
  2. Step 2: Convert to fraction form
    273,741.31/410,612.91 = 84,200.39/x
  3. Step 3: Cross multiply
    273,741.31x = 410,612.91 × 84,200.39
  4. Step 4: Simplify right side
    273,741.31x = 34,573,769,115.34
  5. Step 5: Solve for x
    x = 34,573,769,115.34/273,741.31
  6. Step 6: Final answer
    x = 126,300.88

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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.