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Finding the Fourth Proportional to 150,872.69, 208,207.80 and 82,893.92

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Solution

The fourth proportional to 150,872.69, 208,207.80 and 82,893.92 is: 114,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,872.69 : 208,207.80 = 82,893.92 : x
  2. Step 2: Convert to fraction form
    150,872.69/208,207.80 = 82,893.92/x
  3. Step 3: Cross multiply
    150,872.69x = 208,207.80 × 82,893.92
  4. Step 4: Simplify right side
    150,872.69x = 17,259,159,675.54
  5. Step 5: Solve for x
    x = 17,259,159,675.54/150,872.69
  6. Step 6: Final answer
    x = 114,395.52

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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.