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Finding the Fourth Proportional to 221,100.08, 305,119.56 and 120,498.32

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Solution

The fourth proportional to 221,100.08, 305,119.56 and 120,498.32 is: 166,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,100.08 : 305,119.56 = 120,498.32 : x
  2. Step 2: Convert to fraction form
    221,100.08/305,119.56 = 120,498.32/x
  3. Step 3: Cross multiply
    221,100.08x = 305,119.56 × 120,498.32
  4. Step 4: Simplify right side
    221,100.08x = 36,766,394,379.14
  5. Step 5: Solve for x
    x = 36,766,394,379.14/221,100.08
  6. Step 6: Final answer
    x = 166,288.47

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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.