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Finding the Fourth Proportional to 109,879.80, 164,819.70 and 83,635.80

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Solution

The fourth proportional to 109,879.80, 164,819.70 and 83,635.80 is: 125,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,879.80 : 164,819.70 = 83,635.80 : x
  2. Step 2: Convert to fraction form
    109,879.80/164,819.70 = 83,635.80/x
  3. Step 3: Cross multiply
    109,879.80x = 164,819.70 × 83,635.80
  4. Step 4: Simplify right side
    109,879.80x = 13,784,827,465.26
  5. Step 5: Solve for x
    x = 13,784,827,465.26/109,879.80
  6. Step 6: Final answer
    x = 125,453.70

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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.