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Finding the Fourth Proportional to 137,245.50, 205,884.86 and 48,480.84

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Solution

The fourth proportional to 137,245.50, 205,884.86 and 48,480.84 is: 72,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,245.50 : 205,884.86 = 48,480.84 : x
  2. Step 2: Convert to fraction form
    137,245.50/205,884.86 = 48,480.84/x
  3. Step 3: Cross multiply
    137,245.50x = 205,884.86 × 48,480.84
  4. Step 4: Simplify right side
    137,245.50x = 9,981,471,470.79
  5. Step 5: Solve for x
    x = 9,981,471,470.79/137,245.50
  6. Step 6: Final answer
    x = 72,727.13

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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.