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Finding the Fourth Proportional to 140,381.24, 193,739.45 and 76,728.60

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Solution

The fourth proportional to 140,381.24, 193,739.45 and 76,728.60 is: 105,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,381.24 : 193,739.45 = 76,728.60 : x
  2. Step 2: Convert to fraction form
    140,381.24/193,739.45 = 76,728.60/x
  3. Step 3: Cross multiply
    140,381.24x = 193,739.45 × 76,728.60
  4. Step 4: Simplify right side
    140,381.24x = 14,865,356,379.63
  5. Step 5: Solve for x
    x = 14,865,356,379.63/140,381.24
  6. Step 6: Final answer
    x = 105,892.76

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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.