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Finding the Fourth Proportional to 127,517.92, 176,053.44 and 82,212

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Solution

The fourth proportional to 127,517.92, 176,053.44 and 82,212 is: 113,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,517.92 : 176,053.44 = 82,212 : x
  2. Step 2: Convert to fraction form
    127,517.92/176,053.44 = 82,212/x
  3. Step 3: Cross multiply
    127,517.92x = 176,053.44 × 82,212
  4. Step 4: Simplify right side
    127,517.92x = 14,473,705,409.28
  5. Step 5: Solve for x
    x = 14,473,705,409.28/127,517.92
  6. Step 6: Final answer
    x = 113,503.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.