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Finding the Fourth Proportional to 150,083.35, 207,114.95 and 82,100.31

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Solution

The fourth proportional to 150,083.35, 207,114.95 and 82,100.31 is: 113,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,083.35 : 207,114.95 = 82,100.31 : x
  2. Step 2: Convert to fraction form
    150,083.35/207,114.95 = 82,100.31/x
  3. Step 3: Cross multiply
    150,083.35x = 207,114.95 × 82,100.31
  4. Step 4: Simplify right side
    150,083.35x = 17,004,200,770.31
  5. Step 5: Solve for x
    x = 17,004,200,770.31/150,083.35
  6. Step 6: Final answer
    x = 113,298.38

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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.