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Finding the Fourth Proportional to 83,559.64, 125,146.37 and 50,206.18

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Solution

The fourth proportional to 83,559.64, 125,146.37 and 50,206.18 is: 75,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,559.64 : 125,146.37 = 50,206.18 : x
  2. Step 2: Convert to fraction form
    83,559.64/125,146.37 = 50,206.18/x
  3. Step 3: Cross multiply
    83,559.64x = 125,146.37 × 50,206.18
  4. Step 4: Simplify right side
    83,559.64x = 6,283,120,991.22
  5. Step 5: Solve for x
    x = 6,283,120,991.22/83,559.64
  6. Step 6: Final answer
    x = 75,193.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.