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Finding the Fourth Proportional to 109,105.64, 150,390.24 and 81,465.61

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Solution

The fourth proportional to 109,105.64, 150,390.24 and 81,465.61 is: 112,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,105.64 : 150,390.24 = 81,465.61 : x
  2. Step 2: Convert to fraction form
    109,105.64/150,390.24 = 81,465.61/x
  3. Step 3: Cross multiply
    109,105.64x = 150,390.24 × 81,465.61
  4. Step 4: Simplify right side
    109,105.64x = 12,251,632,639.65
  5. Step 5: Solve for x
    x = 12,251,632,639.65/109,105.64
  6. Step 6: Final answer
    x = 112,291.47

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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.