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Finding the Fourth Proportional to 202,936.88, 280,033.83 and 137,392.38

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Solution

The fourth proportional to 202,936.88, 280,033.83 and 137,392.38 is: 189,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,936.88 : 280,033.83 = 137,392.38 : x
  2. Step 2: Convert to fraction form
    202,936.88/280,033.83 = 137,392.38/x
  3. Step 3: Cross multiply
    202,936.88x = 280,033.83 × 137,392.38
  4. Step 4: Simplify right side
    202,936.88x = 38,474,514,384.22
  5. Step 5: Solve for x
    x = 38,474,514,384.22/202,936.88
  6. Step 6: Final answer
    x = 189,588.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.