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Finding the Fourth Proportional to 225,785.10, 311,597.85 and 149,169.80

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Solution

The fourth proportional to 225,785.10, 311,597.85 and 149,169.80 is: 205,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,785.10 : 311,597.85 = 149,169.80 : x
  2. Step 2: Convert to fraction form
    225,785.10/311,597.85 = 149,169.80/x
  3. Step 3: Cross multiply
    225,785.10x = 311,597.85 × 149,169.80
  4. Step 4: Simplify right side
    225,785.10x = 46,480,987,406.94
  5. Step 5: Solve for x
    x = 46,480,987,406.94/225,785.10
  6. Step 6: Final answer
    x = 205,863.84

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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.