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Finding the Fourth Proportional to 182,894.55, 252,480.77 and 137,589.78

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Solution

The fourth proportional to 182,894.55, 252,480.77 and 137,589.78 is: 189,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,894.55 : 252,480.77 = 137,589.78 : x
  2. Step 2: Convert to fraction form
    182,894.55/252,480.77 = 137,589.78/x
  3. Step 3: Cross multiply
    182,894.55x = 252,480.77 × 137,589.78
  4. Step 4: Simplify right side
    182,894.55x = 34,738,772,910.58
  5. Step 5: Solve for x
    x = 34,738,772,910.58/182,894.55
  6. Step 6: Final answer
    x = 189,938.81

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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.