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Finding the Fourth Proportional to 110,198.64, 164,930.88 and 83,755.52

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Solution

The fourth proportional to 110,198.64, 164,930.88 and 83,755.52 is: 125,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,198.64 : 164,930.88 = 83,755.52 : x
  2. Step 2: Convert to fraction form
    110,198.64/164,930.88 = 83,755.52/x
  3. Step 3: Cross multiply
    110,198.64x = 164,930.88 × 83,755.52
  4. Step 4: Simplify right side
    110,198.64x = 13,813,871,618.46
  5. Step 5: Solve for x
    x = 13,813,871,618.46/110,198.64
  6. Step 6: Final answer
    x = 125,354.28

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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.