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Finding the Fourth Proportional to 269,537.10, 404,305.65 and 164,561.10

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Solution

The fourth proportional to 269,537.10, 404,305.65 and 164,561.10 is: 246,841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,537.10 : 404,305.65 = 164,561.10 : x
  2. Step 2: Convert to fraction form
    269,537.10/404,305.65 = 164,561.10/x
  3. Step 3: Cross multiply
    269,537.10x = 404,305.65 × 164,561.10
  4. Step 4: Simplify right side
    269,537.10x = 66,532,982,500.22
  5. Step 5: Solve for x
    x = 66,532,982,500.22/269,537.10
  6. Step 6: Final answer
    x = 246,841.65

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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.