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Finding the Fourth Proportional to 240,096.50, 360,199.44 and 82,315.40

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Solution

The fourth proportional to 240,096.50, 360,199.44 and 82,315.40 is: 123,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,096.50 : 360,199.44 = 82,315.40 : x
  2. Step 2: Convert to fraction form
    240,096.50/360,199.44 = 82,315.40/x
  3. Step 3: Cross multiply
    240,096.50x = 360,199.44 × 82,315.40
  4. Step 4: Simplify right side
    240,096.50x = 29,649,960,983.38
  5. Step 5: Solve for x
    x = 29,649,960,983.38/240,096.50
  6. Step 6: Final answer
    x = 123,491.85

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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.