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Finding the Fourth Proportional to 140,833.50, 194,350.23 and 81,217.50

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Solution

The fourth proportional to 140,833.50, 194,350.23 and 81,217.50 is: 112,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,833.50 : 194,350.23 = 81,217.50 : x
  2. Step 2: Convert to fraction form
    140,833.50/194,350.23 = 81,217.50/x
  3. Step 3: Cross multiply
    140,833.50x = 194,350.23 × 81,217.50
  4. Step 4: Simplify right side
    140,833.50x = 15,784,639,805.03
  5. Step 5: Solve for x
    x = 15,784,639,805.03/140,833.50
  6. Step 6: Final answer
    x = 112,080.15

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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.