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Finding the Fourth Proportional to 199,417.84, 275,199.90 and 108,773.80

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Solution

The fourth proportional to 199,417.84, 275,199.90 and 108,773.80 is: 150,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,417.84 : 275,199.90 = 108,773.80 : x
  2. Step 2: Convert to fraction form
    199,417.84/275,199.90 = 108,773.80/x
  3. Step 3: Cross multiply
    199,417.84x = 275,199.90 × 108,773.80
  4. Step 4: Simplify right side
    199,417.84x = 29,934,538,882.62
  5. Step 5: Solve for x
    x = 29,934,538,882.62/199,417.84
  6. Step 6: Final answer
    x = 150,109.63

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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.