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Finding the Fourth Proportional to 82,392.50, 123,588.68 and 71,266.11

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Solution

The fourth proportional to 82,392.50, 123,588.68 and 71,266.11 is: 106,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,392.50 : 123,588.68 = 71,266.11 : x
  2. Step 2: Convert to fraction form
    82,392.50/123,588.68 = 71,266.11/x
  3. Step 3: Cross multiply
    82,392.50x = 123,588.68 × 71,266.11
  4. Step 4: Simplify right side
    82,392.50x = 8,807,684,107.30
  5. Step 5: Solve for x
    x = 8,807,684,107.30/82,392.50
  6. Step 6: Final answer
    x = 106,899.11

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Why These Related Problems?

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