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Finding the Fourth Proportional to 150,886.80, 208,201.12 and 82,906.64

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Solution

The fourth proportional to 150,886.80, 208,201.12 and 82,906.64 is: 114,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,886.80 : 208,201.12 = 82,906.64 : x
  2. Step 2: Convert to fraction form
    150,886.80/208,201.12 = 82,906.64/x
  3. Step 3: Cross multiply
    150,886.80x = 208,201.12 × 82,906.64
  4. Step 4: Simplify right side
    150,886.80x = 17,261,254,835.92
  5. Step 5: Solve for x
    x = 17,261,254,835.92/150,886.80
  6. Step 6: Final answer
    x = 114,398.71

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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.