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Finding the Fourth Proportional to 199,658.86, 275,527.13 and 109,014.54

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Solution

The fourth proportional to 199,658.86, 275,527.13 and 109,014.54 is: 150,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,658.86 : 275,527.13 = 109,014.54 : x
  2. Step 2: Convert to fraction form
    199,658.86/275,527.13 = 109,014.54/x
  3. Step 3: Cross multiply
    199,658.86x = 275,527.13 × 109,014.54
  4. Step 4: Simplify right side
    199,658.86x = 30,036,463,334.47
  5. Step 5: Solve for x
    x = 30,036,463,334.47/199,658.86
  6. Step 6: Final answer
    x = 150,438.92

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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.