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Finding the Fourth Proportional to 140,656.52, 194,110.90 and 76,994.78

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Solution

The fourth proportional to 140,656.52, 194,110.90 and 76,994.78 is: 106,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,656.52 : 194,110.90 = 76,994.78 : x
  2. Step 2: Convert to fraction form
    140,656.52/194,110.90 = 76,994.78/x
  3. Step 3: Cross multiply
    140,656.52x = 194,110.90 × 76,994.78
  4. Step 4: Simplify right side
    140,656.52x = 14,945,524,878.06
  5. Step 5: Solve for x
    x = 14,945,524,878.06/140,656.52
  6. Step 6: Final answer
    x = 106,255.47

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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.