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Finding the Fourth Proportional to 84,175.80, 126,033.30 and 65,743.80

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Solution

The fourth proportional to 84,175.80, 126,033.30 and 65,743.80 is: 98,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,175.80 : 126,033.30 = 65,743.80 : x
  2. Step 2: Convert to fraction form
    84,175.80/126,033.30 = 65,743.80/x
  3. Step 3: Cross multiply
    84,175.80x = 126,033.30 × 65,743.80
  4. Step 4: Simplify right side
    84,175.80x = 8,285,908,068.54
  5. Step 5: Solve for x
    x = 8,285,908,068.54/84,175.80
  6. Step 6: Final answer
    x = 98,435.75

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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.