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Finding the Fourth Proportional to 180,128.12, 270,195.90 and 55,469

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Solution

The fourth proportional to 180,128.12, 270,195.90 and 55,469 is: 83,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,128.12 : 270,195.90 = 55,469 : x
  2. Step 2: Convert to fraction form
    180,128.12/270,195.90 = 55,469/x
  3. Step 3: Cross multiply
    180,128.12x = 270,195.90 × 55,469
  4. Step 4: Simplify right side
    180,128.12x = 14,987,496,377.10
  5. Step 5: Solve for x
    x = 14,987,496,377.10/180,128.12
  6. Step 6: Final answer
    x = 83,204.65

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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.