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Finding the Fourth Proportional to 120,992.74, 181,497.75 and 32,245.78

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Solution

The fourth proportional to 120,992.74, 181,497.75 and 32,245.78 is: 48,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,992.74 : 181,497.75 = 32,245.78 : x
  2. Step 2: Convert to fraction form
    120,992.74/181,497.75 = 32,245.78/x
  3. Step 3: Cross multiply
    120,992.74x = 181,497.75 × 32,245.78
  4. Step 4: Simplify right side
    120,992.74x = 5,852,536,517.00
  5. Step 5: Solve for x
    x = 5,852,536,517.00/120,992.74
  6. Step 6: Final answer
    x = 48,370.97

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1.5x scale

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.