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Finding the Fourth Proportional to 140,009.92, 193,213.92 and 82,651.84

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Solution

The fourth proportional to 140,009.92, 193,213.92 and 82,651.84 is: 114,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,009.92 : 193,213.92 = 82,651.84 : x
  2. Step 2: Convert to fraction form
    140,009.92/193,213.92 = 82,651.84/x
  3. Step 3: Cross multiply
    140,009.92x = 193,213.92 × 82,651.84
  4. Step 4: Simplify right side
    140,009.92x = 15,969,486,001.61
  5. Step 5: Solve for x
    x = 15,969,486,001.61/140,009.92
  6. Step 6: Final answer
    x = 114,059.68

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1.5x scale

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.