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Finding the Fourth Proportional to 202,104.60, 303,132.60 and 83,763.60

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Solution

The fourth proportional to 202,104.60, 303,132.60 and 83,763.60 is: 125,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,104.60 : 303,132.60 = 83,763.60 : x
  2. Step 2: Convert to fraction form
    202,104.60/303,132.60 = 83,763.60/x
  3. Step 3: Cross multiply
    202,104.60x = 303,132.60 × 83,763.60
  4. Step 4: Simplify right side
    202,104.60x = 25,391,477,853.36
  5. Step 5: Solve for x
    x = 25,391,477,853.36/202,104.60
  6. Step 6: Final answer
    x = 125,635.33

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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.