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Finding the Fourth Proportional to 140,653.92, 194,102.61 and 76,995.74

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Solution

The fourth proportional to 140,653.92, 194,102.61 and 76,995.74 is: 106,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,653.92 : 194,102.61 = 76,995.74 : x
  2. Step 2: Convert to fraction form
    140,653.92/194,102.61 = 76,995.74/x
  3. Step 3: Cross multiply
    140,653.92x = 194,102.61 × 76,995.74
  4. Step 4: Simplify right side
    140,653.92x = 14,945,074,092.88
  5. Step 5: Solve for x
    x = 14,945,074,092.88/140,653.92
  6. Step 6: Final answer
    x = 106,254.23

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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.