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Finding the Fourth Proportional to 199,642.84, 275,505.24 and 108,998.02

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Solution

The fourth proportional to 199,642.84, 275,505.24 and 108,998.02 is: 150,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,642.84 : 275,505.24 = 108,998.02 : x
  2. Step 2: Convert to fraction form
    199,642.84/275,505.24 = 108,998.02/x
  3. Step 3: Cross multiply
    199,642.84x = 275,505.24 × 108,998.02
  4. Step 4: Simplify right side
    199,642.84x = 30,029,525,659.62
  5. Step 5: Solve for x
    x = 30,029,525,659.62/199,642.84
  6. Step 6: Final answer
    x = 150,416.24

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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.