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Finding the Fourth Proportional to 198,774.59, 274,247.00 and 112,726.80

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Solution

The fourth proportional to 198,774.59, 274,247.00 and 112,726.80 is: 155,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,774.59 : 274,247.00 = 112,726.80 : x
  2. Step 2: Convert to fraction form
    198,774.59/274,247.00 = 112,726.80/x
  3. Step 3: Cross multiply
    198,774.59x = 274,247.00 × 112,726.80
  4. Step 4: Simplify right side
    198,774.59x = 30,914,986,578.69
  5. Step 5: Solve for x
    x = 30,914,986,578.69/198,774.59
  6. Step 6: Final answer
    x = 155,527.86

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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.