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Finding the Fourth Proportional to 221,727.38, 305,983.78 and 119,752.83

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Solution

The fourth proportional to 221,727.38, 305,983.78 and 119,752.83 is: 165,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,727.38 : 305,983.78 = 119,752.83 : x
  2. Step 2: Convert to fraction form
    221,727.38/305,983.78 = 119,752.83/x
  3. Step 3: Cross multiply
    221,727.38x = 305,983.78 × 119,752.83
  4. Step 4: Simplify right side
    221,727.38x = 36,642,423,289.72
  5. Step 5: Solve for x
    x = 36,642,423,289.72/221,727.38
  6. Step 6: Final answer
    x = 165,258.91

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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.