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Finding the Fourth Proportional to 269,187.60, 403,781.40 and 164,211.60

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Solution

The fourth proportional to 269,187.60, 403,781.40 and 164,211.60 is: 246,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,187.60 : 403,781.40 = 164,211.60 : x
  2. Step 2: Convert to fraction form
    269,187.60/403,781.40 = 164,211.60/x
  3. Step 3: Cross multiply
    269,187.60x = 403,781.40 × 164,211.60
  4. Step 4: Simplify right side
    269,187.60x = 66,305,589,744.24
  5. Step 5: Solve for x
    x = 66,305,589,744.24/269,187.60
  6. Step 6: Final answer
    x = 246,317.40

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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.