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Finding the Fourth Proportional to 202,209.75, 303,314.64 and 54,465.75

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Solution

The fourth proportional to 202,209.75, 303,314.64 and 54,465.75 is: 81,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,209.75 : 303,314.64 = 54,465.75 : x
  2. Step 2: Convert to fraction form
    202,209.75/303,314.64 = 54,465.75/x
  3. Step 3: Cross multiply
    202,209.75x = 303,314.64 × 54,465.75
  4. Step 4: Simplify right side
    202,209.75x = 16,520,259,353.58
  5. Step 5: Solve for x
    x = 16,520,259,353.58/202,209.75
  6. Step 6: Final answer
    x = 81,698.63

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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.