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Finding the Fourth Proportional to 140,394.36, 193,744.20 and 76,732.40

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Solution

The fourth proportional to 140,394.36, 193,744.20 and 76,732.40 is: 105,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,394.36 : 193,744.20 = 76,732.40 : x
  2. Step 2: Convert to fraction form
    140,394.36/193,744.20 = 76,732.40/x
  3. Step 3: Cross multiply
    140,394.36x = 193,744.20 × 76,732.40
  4. Step 4: Simplify right side
    140,394.36x = 14,866,457,452.08
  5. Step 5: Solve for x
    x = 14,866,457,452.08/140,394.36
  6. Step 6: Final answer
    x = 105,890.70

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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.