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Finding the Fourth Proportional to 185,380.31, 255,822.53 and 108,906.38

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Solution

The fourth proportional to 185,380.31, 255,822.53 and 108,906.38 is: 150,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,380.31 : 255,822.53 = 108,906.38 : x
  2. Step 2: Convert to fraction form
    185,380.31/255,822.53 = 108,906.38/x
  3. Step 3: Cross multiply
    185,380.31x = 255,822.53 × 108,906.38
  4. Step 4: Simplify right side
    185,380.31x = 27,860,703,841.10
  5. Step 5: Solve for x
    x = 27,860,703,841.10/185,380.31
  6. Step 6: Final answer
    x = 150,289.45

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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.