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Finding the Fourth Proportional to 140,390.24, 193,738.19 and 76,728.49

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Solution

The fourth proportional to 140,390.24, 193,738.19 and 76,728.49 is: 105,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,390.24 : 193,738.19 = 76,728.49 : x
  2. Step 2: Convert to fraction form
    140,390.24/193,738.19 = 76,728.49/x
  3. Step 3: Cross multiply
    140,390.24x = 193,738.19 × 76,728.49
  4. Step 4: Simplify right side
    140,390.24x = 14,865,237,906.05
  5. Step 5: Solve for x
    x = 14,865,237,906.05/140,390.24
  6. Step 6: Final answer
    x = 105,885.13

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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.