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Finding the Fourth Proportional to 140,611.86, 210,736.62 and 51,760.13

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Solution

The fourth proportional to 140,611.86, 210,736.62 and 51,760.13 is: 77,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,611.86 : 210,736.62 = 51,760.13 : x
  2. Step 2: Convert to fraction form
    140,611.86/210,736.62 = 51,760.13/x
  3. Step 3: Cross multiply
    140,611.86x = 210,736.62 × 51,760.13
  4. Step 4: Simplify right side
    140,611.86x = 10,907,753,793.28
  5. Step 5: Solve for x
    x = 10,907,753,793.28/140,611.86
  6. Step 6: Final answer
    x = 77,573.50

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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.