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Finding the Fourth Proportional to 140,428.66, 193,795.77 and 76,769.86

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Solution

The fourth proportional to 140,428.66, 193,795.77 and 76,769.86 is: 105,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,428.66 : 193,795.77 = 76,769.86 : x
  2. Step 2: Convert to fraction form
    140,428.66/193,795.77 = 76,769.86/x
  3. Step 3: Cross multiply
    140,428.66x = 193,795.77 × 76,769.86
  4. Step 4: Simplify right side
    140,428.66x = 14,877,674,131.49
  5. Step 5: Solve for x
    x = 14,877,674,131.49/140,428.66
  6. Step 6: Final answer
    x = 105,944.71

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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.