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Finding the Fourth Proportional to 202,205.77, 303,315.94 and 75,833.21

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Solution

The fourth proportional to 202,205.77, 303,315.94 and 75,833.21 is: 113,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,205.77 : 303,315.94 = 75,833.21 : x
  2. Step 2: Convert to fraction form
    202,205.77/303,315.94 = 75,833.21/x
  3. Step 3: Cross multiply
    202,205.77x = 303,315.94 × 75,833.21
  4. Step 4: Simplify right side
    202,205.77x = 23,001,422,227.45
  5. Step 5: Solve for x
    x = 23,001,422,227.45/202,205.77
  6. Step 6: Final answer
    x = 113,752.55

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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.