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Finding the Fourth Proportional to 140,394.40, 193,744.77 and 76,732.22

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Solution

The fourth proportional to 140,394.40, 193,744.77 and 76,732.22 is: 105,890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,394.40 : 193,744.77 = 76,732.22 : x
  2. Step 2: Convert to fraction form
    140,394.40/193,744.77 = 76,732.22/x
  3. Step 3: Cross multiply
    140,394.40x = 193,744.77 × 76,732.22
  4. Step 4: Simplify right side
    140,394.40x = 14,866,466,315.49
  5. Step 5: Solve for x
    x = 14,866,466,315.49/140,394.40
  6. Step 6: Final answer
    x = 105,890.74

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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.