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Finding the Fourth Proportional to 109,107.64, 150,393 and 81,467.61

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Solution

The fourth proportional to 109,107.64, 150,393 and 81,467.61 is: 112,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,107.64 : 150,393 = 81,467.61 : x
  2. Step 2: Convert to fraction form
    109,107.64/150,393 = 81,467.61/x
  3. Step 3: Cross multiply
    109,107.64x = 150,393 × 81,467.61
  4. Step 4: Simplify right side
    109,107.64x = 12,252,158,270.73
  5. Step 5: Solve for x
    x = 12,252,158,270.73/109,107.64
  6. Step 6: Final answer
    x = 112,294.23

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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.