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Finding the Fourth Proportional to 269,963.10, 404,167.05 and 164,987.10

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Solution

The fourth proportional to 269,963.10, 404,167.05 and 164,987.10 is: 247,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,963.10 : 404,167.05 = 164,987.10 : x
  2. Step 2: Convert to fraction form
    269,963.10/404,167.05 = 164,987.10/x
  3. Step 3: Cross multiply
    269,963.10x = 404,167.05 × 164,987.10
  4. Step 4: Simplify right side
    269,963.10x = 66,682,349,495.06
  5. Step 5: Solve for x
    x = 66,682,349,495.06/269,963.10
  6. Step 6: Final answer
    x = 247,005.42

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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.