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Finding the Fourth Proportional to 109,896.80, 164,845.20 and 83,652.80

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Solution

The fourth proportional to 109,896.80, 164,845.20 and 83,652.80 is: 125,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,896.80 : 164,845.20 = 83,652.80 : x
  2. Step 2: Convert to fraction form
    109,896.80/164,845.20 = 83,652.80/x
  3. Step 3: Cross multiply
    109,896.80x = 164,845.20 × 83,652.80
  4. Step 4: Simplify right side
    109,896.80x = 13,789,762,546.56
  5. Step 5: Solve for x
    x = 13,789,762,546.56/109,896.80
  6. Step 6: Final answer
    x = 125,479.20

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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.