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Finding the Fourth Proportional to 221,508.36, 305,575.11 and 144,993.78

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Solution

The fourth proportional to 221,508.36, 305,575.11 and 144,993.78 is: 200,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,508.36 : 305,575.11 = 144,993.78 : x
  2. Step 2: Convert to fraction form
    221,508.36/305,575.11 = 144,993.78/x
  3. Step 3: Cross multiply
    221,508.36x = 305,575.11 × 144,993.78
  4. Step 4: Simplify right side
    221,508.36x = 44,306,490,272.82
  5. Step 5: Solve for x
    x = 44,306,490,272.82/221,508.36
  6. Step 6: Final answer
    x = 200,021.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.