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Finding the Fourth Proportional to 109,453.80, 164,180.70 and 81,805.80

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Solution

The fourth proportional to 109,453.80, 164,180.70 and 81,805.80 is: 122,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,453.80 : 164,180.70 = 81,805.80 : x
  2. Step 2: Convert to fraction form
    109,453.80/164,180.70 = 81,805.80/x
  3. Step 3: Cross multiply
    109,453.80x = 164,180.70 × 81,805.80
  4. Step 4: Simplify right side
    109,453.80x = 13,430,933,508.06
  5. Step 5: Solve for x
    x = 13,430,933,508.06/109,453.80
  6. Step 6: Final answer
    x = 122,708.70

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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.