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Finding the Fourth Proportional to 140,094.68, 193,331.30 and 76,433.80

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Solution

The fourth proportional to 140,094.68, 193,331.30 and 76,433.80 is: 105,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,094.68 : 193,331.30 = 76,433.80 : x
  2. Step 2: Convert to fraction form
    140,094.68/193,331.30 = 76,433.80/x
  3. Step 3: Cross multiply
    140,094.68x = 193,331.30 × 76,433.80
  4. Step 4: Simplify right side
    140,094.68x = 14,777,045,917.94
  5. Step 5: Solve for x
    x = 14,777,045,917.94/140,094.68
  6. Step 6: Final answer
    x = 105,478.99

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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.