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Finding the Fourth Proportional to 219,610.20, 329,415.30 and 180,211.80

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Solution

The fourth proportional to 219,610.20, 329,415.30 and 180,211.80 is: 270,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,610.20 : 329,415.30 = 180,211.80 : x
  2. Step 2: Convert to fraction form
    219,610.20/329,415.30 = 180,211.80/x
  3. Step 3: Cross multiply
    219,610.20x = 329,415.30 × 180,211.80
  4. Step 4: Simplify right side
    219,610.20x = 59,364,524,160.54
  5. Step 5: Solve for x
    x = 59,364,524,160.54/219,610.20
  6. Step 6: Final answer
    x = 270,317.70

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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.