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Finding the Fourth Proportional to 269,190.10, 403,785.15 and 164,214.10

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Solution

The fourth proportional to 269,190.10, 403,785.15 and 164,214.10 is: 246,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,190.10 : 403,785.15 = 164,214.10 : x
  2. Step 2: Convert to fraction form
    269,190.10/403,785.15 = 164,214.10/x
  3. Step 3: Cross multiply
    269,190.10x = 403,785.15 × 164,214.10
  4. Step 4: Simplify right side
    269,190.10x = 66,307,215,000.62
  5. Step 5: Solve for x
    x = 66,307,215,000.62/269,190.10
  6. Step 6: Final answer
    x = 246,321.15

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