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Finding the Fourth Proportional to 101,813.76, 140,374.22 and 84,583.04

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Solution

The fourth proportional to 101,813.76, 140,374.22 and 84,583.04 is: 116,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,813.76 : 140,374.22 = 84,583.04 : x
  2. Step 2: Convert to fraction form
    101,813.76/140,374.22 = 84,583.04/x
  3. Step 3: Cross multiply
    101,813.76x = 140,374.22 × 84,583.04
  4. Step 4: Simplify right side
    101,813.76x = 11,873,277,140.44
  5. Step 5: Solve for x
    x = 11,873,277,140.44/101,813.76
  6. Step 6: Final answer
    x = 116,617.61

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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.