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Finding the Fourth Proportional to 202,205.71, 303,315.85 and 75,833.15

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Solution

The fourth proportional to 202,205.71, 303,315.85 and 75,833.15 is: 113,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,205.71 : 303,315.85 = 75,833.15 : x
  2. Step 2: Convert to fraction form
    202,205.71/303,315.85 = 75,833.15/x
  3. Step 3: Cross multiply
    202,205.71x = 303,315.85 × 75,833.15
  4. Step 4: Simplify right side
    202,205.71x = 23,001,396,350.43
  5. Step 5: Solve for x
    x = 23,001,396,350.43/202,205.71
  6. Step 6: Final answer
    x = 113,752.46

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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.