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Finding the Fourth Proportional to 199,675.14, 275,558.13 and 109,035.84

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Solution

The fourth proportional to 199,675.14, 275,558.13 and 109,035.84 is: 150,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,675.14 : 275,558.13 = 109,035.84 : x
  2. Step 2: Convert to fraction form
    199,675.14/275,558.13 = 109,035.84/x
  3. Step 3: Cross multiply
    199,675.14x = 275,558.13 × 109,035.84
  4. Step 4: Simplify right side
    199,675.14x = 30,045,712,173.38
  5. Step 5: Solve for x
    x = 30,045,712,173.38/199,675.14
  6. Step 6: Final answer
    x = 150,472.97

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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.