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Finding the Fourth Proportional to 311,732.50, 467,676.51 and 90,116.50

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Solution

The fourth proportional to 311,732.50, 467,676.51 and 90,116.50 is: 135,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,732.50 : 467,676.51 = 90,116.50 : x
  2. Step 2: Convert to fraction form
    311,732.50/467,676.51 = 90,116.50/x
  3. Step 3: Cross multiply
    311,732.50x = 467,676.51 × 90,116.50
  4. Step 4: Simplify right side
    311,732.50x = 42,145,370,213.42
  5. Step 5: Solve for x
    x = 42,145,370,213.42/311,732.50
  6. Step 6: Final answer
    x = 135,197.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.