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Finding the Fourth Proportional to 199,658.89, 275,527.17 and 109,014.57

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Solution

The fourth proportional to 199,658.89, 275,527.17 and 109,014.57 is: 150,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,658.89 : 275,527.17 = 109,014.57 : x
  2. Step 2: Convert to fraction form
    199,658.89/275,527.17 = 109,014.57/x
  3. Step 3: Cross multiply
    199,658.89x = 275,527.17 × 109,014.57
  4. Step 4: Simplify right side
    199,658.89x = 30,036,475,960.87
  5. Step 5: Solve for x
    x = 30,036,475,960.87/199,658.89
  6. Step 6: Final answer
    x = 150,438.96

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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.