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Finding the Fourth Proportional to 269,564.10, 404,346.15 and 82,551.30

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Solution

The fourth proportional to 269,564.10, 404,346.15 and 82,551.30 is: 123,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,564.10 : 404,346.15 = 82,551.30 : x
  2. Step 2: Convert to fraction form
    269,564.10/404,346.15 = 82,551.30/x
  3. Step 3: Cross multiply
    269,564.10x = 404,346.15 × 82,551.30
  4. Step 4: Simplify right side
    269,564.10x = 33,379,300,332.50
  5. Step 5: Solve for x
    x = 33,379,300,332.50/269,564.10
  6. Step 6: Final answer
    x = 123,826.95

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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.