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Finding the Fourth Proportional to 198,506.59, 273,908.25 and 117,932.05

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Solution

The fourth proportional to 198,506.59, 273,908.25 and 117,932.05 is: 162,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,506.59 : 273,908.25 = 117,932.05 : x
  2. Step 2: Convert to fraction form
    198,506.59/273,908.25 = 117,932.05/x
  3. Step 3: Cross multiply
    198,506.59x = 273,908.25 × 117,932.05
  4. Step 4: Simplify right side
    198,506.59x = 32,302,561,434.41
  5. Step 5: Solve for x
    x = 32,302,561,434.41/198,506.59
  6. Step 6: Final answer
    x = 162,727.90

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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.