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Finding the Fourth Proportional to 110,624.31, 165,785.09 and 83,584.46

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Solution

The fourth proportional to 110,624.31, 165,785.09 and 83,584.46 is: 125,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,624.31 : 165,785.09 = 83,584.46 : x
  2. Step 2: Convert to fraction form
    110,624.31/165,785.09 = 83,584.46/x
  3. Step 3: Cross multiply
    110,624.31x = 165,785.09 × 83,584.46
  4. Step 4: Simplify right side
    110,624.31x = 13,857,055,976.85
  5. Step 5: Solve for x
    x = 13,857,055,976.85/110,624.31
  6. Step 6: Final answer
    x = 125,262.30

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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.