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Finding the Fourth Proportional to 202,262.88, 303,529.74 and 83,934.34

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Solution

The fourth proportional to 202,262.88, 303,529.74 and 83,934.34 is: 125,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,262.88 : 303,529.74 = 83,934.34 : x
  2. Step 2: Convert to fraction form
    202,262.88/303,529.74 = 83,934.34/x
  3. Step 3: Cross multiply
    202,262.88x = 303,529.74 × 83,934.34
  4. Step 4: Simplify right side
    202,262.88x = 25,476,568,397.27
  5. Step 5: Solve for x
    x = 25,476,568,397.27/202,262.88
  6. Step 6: Final answer
    x = 125,957.71

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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.