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Finding the Fourth Proportional to 84,112.30, 126,237.30 and 83,456.20

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Solution

The fourth proportional to 84,112.30, 126,237.30 and 83,456.20 is: 125,252.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,112.30 : 126,237.30 = 83,456.20 : x
  2. Step 2: Convert to fraction form
    84,112.30/126,237.30 = 83,456.20/x
  3. Step 3: Cross multiply
    84,112.30x = 126,237.30 × 83,456.20
  4. Step 4: Simplify right side
    84,112.30x = 10,535,285,356.26
  5. Step 5: Solve for x
    x = 10,535,285,356.26/84,112.30
  6. Step 6: Final answer
    x = 125,252.61

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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.