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Finding the Fourth Proportional to 221,129.64, 305,137.83 and 129,270.41

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Solution

The fourth proportional to 221,129.64, 305,137.83 and 129,270.41 is: 178,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,129.64 : 305,137.83 = 129,270.41 : x
  2. Step 2: Convert to fraction form
    221,129.64/305,137.83 = 129,270.41/x
  3. Step 3: Cross multiply
    221,129.64x = 305,137.83 × 129,270.41
  4. Step 4: Simplify right side
    221,129.64x = 39,445,290,864.92
  5. Step 5: Solve for x
    x = 39,445,290,864.92/221,129.64
  6. Step 6: Final answer
    x = 178,380.84

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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.