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Finding the Fourth Proportional to 140,982.39, 194,559.98 and 77,324.49

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Solution

The fourth proportional to 140,982.39, 194,559.98 and 77,324.49 is: 106,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,982.39 : 194,559.98 = 77,324.49 : x
  2. Step 2: Convert to fraction form
    140,982.39/194,559.98 = 77,324.49/x
  3. Step 3: Cross multiply
    140,982.39x = 194,559.98 × 77,324.49
  4. Step 4: Simplify right side
    140,982.39x = 15,044,250,841.29
  5. Step 5: Solve for x
    x = 15,044,250,841.29/140,982.39
  6. Step 6: Final answer
    x = 106,710.14

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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.