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Finding the Fourth Proportional to 140,108.94, 193,353.89 and 76,447.80

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Solution

The fourth proportional to 140,108.94, 193,353.89 and 76,447.80 is: 105,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,108.94 : 193,353.89 = 76,447.80 : x
  2. Step 2: Convert to fraction form
    140,108.94/193,353.89 = 76,447.80/x
  3. Step 3: Cross multiply
    140,108.94x = 193,353.89 × 76,447.80
  4. Step 4: Simplify right side
    140,108.94x = 14,781,479,129.70
  5. Step 5: Solve for x
    x = 14,781,479,129.70/140,108.94
  6. Step 6: Final answer
    x = 105,499.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.