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Finding the Fourth Proportional to 202,265.43, 303,584.49 and 102,496.32

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Solution

The fourth proportional to 202,265.43, 303,584.49 and 102,496.32 is: 153,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,265.43 : 303,584.49 = 102,496.32 : x
  2. Step 2: Convert to fraction form
    202,265.43/303,584.49 = 102,496.32/x
  3. Step 3: Cross multiply
    202,265.43x = 303,584.49 × 102,496.32
  4. Step 4: Simplify right side
    202,265.43x = 31,116,293,034.08
  5. Step 5: Solve for x
    x = 31,116,293,034.08/202,265.43
  6. Step 6: Final answer
    x = 153,838.91

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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.