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Finding the Fourth Proportional to 199,654.83, 275,515.79 and 109,014.61

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Solution

The fourth proportional to 199,654.83, 275,515.79 and 109,014.61 is: 150,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,654.83 : 275,515.79 = 109,014.61 : x
  2. Step 2: Convert to fraction form
    199,654.83/275,515.79 = 109,014.61/x
  3. Step 3: Cross multiply
    199,654.83x = 275,515.79 × 109,014.61
  4. Step 4: Simplify right side
    199,654.83x = 30,035,246,395.69
  5. Step 5: Solve for x
    x = 30,035,246,395.69/199,654.83
  6. Step 6: Final answer
    x = 150,435.86

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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.