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Finding the Fourth Proportional to 270,049.57, 404,823.96 and 92,514.40

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Solution

The fourth proportional to 270,049.57, 404,823.96 and 92,514.40 is: 138,685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,049.57 : 404,823.96 = 92,514.40 : x
  2. Step 2: Convert to fraction form
    270,049.57/404,823.96 = 92,514.40/x
  3. Step 3: Cross multiply
    270,049.57x = 404,823.96 × 92,514.40
  4. Step 4: Simplify right side
    270,049.57x = 37,452,045,765.02
  5. Step 5: Solve for x
    x = 37,452,045,765.02/270,049.57
  6. Step 6: Final answer
    x = 138,685.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.