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Finding the Fourth Proportional to 136,992.44, 205,505.26 and 48,227.78

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Solution

The fourth proportional to 136,992.44, 205,505.26 and 48,227.78 is: 72,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,992.44 : 205,505.26 = 48,227.78 : x
  2. Step 2: Convert to fraction form
    136,992.44/205,505.26 = 48,227.78/x
  3. Step 3: Cross multiply
    136,992.44x = 205,505.26 × 48,227.78
  4. Step 4: Simplify right side
    136,992.44x = 9,911,062,468.12
  5. Step 5: Solve for x
    x = 9,911,062,468.12/136,992.44
  6. Step 6: Final answer
    x = 72,347.51

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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.