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Finding the Fourth Proportional to 273,881.86, 410,540.91 and 133,466.74

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Solution

The fourth proportional to 273,881.86, 410,540.91 and 133,466.74 is: 200,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,881.86 : 410,540.91 = 133,466.74 : x
  2. Step 2: Convert to fraction form
    273,881.86/410,540.91 = 133,466.74/x
  3. Step 3: Cross multiply
    273,881.86x = 410,540.91 × 133,466.74
  4. Step 4: Simplify right side
    273,881.86x = 54,793,556,894.33
  5. Step 5: Solve for x
    x = 54,793,556,894.33/273,881.86
  6. Step 6: Final answer
    x = 200,062.75

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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.