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Finding the Fourth Proportional to 200,761.97, 301,128.87 and 94,169.32

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Solution

The fourth proportional to 200,761.97, 301,128.87 and 94,169.32 is: 141,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,761.97 : 301,128.87 = 94,169.32 : x
  2. Step 2: Convert to fraction form
    200,761.97/301,128.87 = 94,169.32/x
  3. Step 3: Cross multiply
    200,761.97x = 301,128.87 × 94,169.32
  4. Step 4: Simplify right side
    200,761.97x = 28,357,099,414.62
  5. Step 5: Solve for x
    x = 28,357,099,414.62/200,761.97
  6. Step 6: Final answer
    x = 141,247.37

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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.