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Finding the Fourth Proportional to 221,785.84, 306,064.74 and 121,183.84

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Solution

The fourth proportional to 221,785.84, 306,064.74 and 121,183.84 is: 167,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,785.84 : 306,064.74 = 121,183.84 : x
  2. Step 2: Convert to fraction form
    221,785.84/306,064.74 = 121,183.84/x
  3. Step 3: Cross multiply
    221,785.84x = 306,064.74 × 121,183.84
  4. Step 4: Simplify right side
    221,785.84x = 37,090,100,481.80
  5. Step 5: Solve for x
    x = 37,090,100,481.80/221,785.84
  6. Step 6: Final answer
    x = 167,233.85

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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.