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Finding the Fourth Proportional to 141,298.29, 194,993.84 and 76,768.80

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Solution

The fourth proportional to 141,298.29, 194,993.84 and 76,768.80 is: 105,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,298.29 : 194,993.84 = 76,768.80 : x
  2. Step 2: Convert to fraction form
    141,298.29/194,993.84 = 76,768.80/x
  3. Step 3: Cross multiply
    141,298.29x = 194,993.84 × 76,768.80
  4. Step 4: Simplify right side
    141,298.29x = 14,969,443,495.47
  5. Step 5: Solve for x
    x = 14,969,443,495.47/141,298.29
  6. Step 6: Final answer
    x = 105,942.15

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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.