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Finding the Fourth Proportional to 202,310.46, 303,498.54 and 75,960.63

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Solution

The fourth proportional to 202,310.46, 303,498.54 and 75,960.63 is: 113,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,310.46 : 303,498.54 = 75,960.63 : x
  2. Step 2: Convert to fraction form
    202,310.46/303,498.54 = 75,960.63/x
  3. Step 3: Cross multiply
    202,310.46x = 303,498.54 × 75,960.63
  4. Step 4: Simplify right side
    202,310.46x = 23,053,940,302.48
  5. Step 5: Solve for x
    x = 23,053,940,302.48/202,310.46
  6. Step 6: Final answer
    x = 113,953.28

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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.