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Finding the Fourth Proportional to 82,138.20, 123,207.30 and 29,549.40

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Solution

The fourth proportional to 82,138.20, 123,207.30 and 29,549.40 is: 44,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,138.20 : 123,207.30 = 29,549.40 : x
  2. Step 2: Convert to fraction form
    82,138.20/123,207.30 = 29,549.40/x
  3. Step 3: Cross multiply
    82,138.20x = 123,207.30 × 29,549.40
  4. Step 4: Simplify right side
    82,138.20x = 3,640,701,790.62
  5. Step 5: Solve for x
    x = 3,640,701,790.62/82,138.20
  6. Step 6: Final answer
    x = 44,324.10

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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.