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Finding the Fourth Proportional to 82,266.84, 123,384.69 and 40,104.57

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Solution

The fourth proportional to 82,266.84, 123,384.69 and 40,104.57 is: 60,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,266.84 : 123,384.69 = 40,104.57 : x
  2. Step 2: Convert to fraction form
    82,266.84/123,384.69 = 40,104.57/x
  3. Step 3: Cross multiply
    82,266.84x = 123,384.69 × 40,104.57
  4. Step 4: Simplify right side
    82,266.84x = 4,948,289,937.03
  5. Step 5: Solve for x
    x = 4,948,289,937.03/82,266.84
  6. Step 6: Final answer
    x = 60,149.26

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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.