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Finding the Fourth Proportional to 82,196.84, 123,196.12 and 40,013.70

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Solution

The fourth proportional to 82,196.84, 123,196.12 and 40,013.70 is: 59,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,196.84 : 123,196.12 = 40,013.70 : x
  2. Step 2: Convert to fraction form
    82,196.84/123,196.12 = 40,013.70/x
  3. Step 3: Cross multiply
    82,196.84x = 123,196.12 × 40,013.70
  4. Step 4: Simplify right side
    82,196.84x = 4,929,532,586.84
  5. Step 5: Solve for x
    x = 4,929,532,586.84/82,196.84
  6. Step 6: Final answer
    x = 59,972.29

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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.