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Finding the Fourth Proportional to 230,244.97, 344,729.81 and 117,682.81

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Solution

The fourth proportional to 230,244.97, 344,729.81 and 117,682.81 is: 176,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,244.97 : 344,729.81 = 117,682.81 : x
  2. Step 2: Convert to fraction form
    230,244.97/344,729.81 = 117,682.81/x
  3. Step 3: Cross multiply
    230,244.97x = 344,729.81 × 117,682.81
  4. Step 4: Simplify right side
    230,244.97x = 40,568,772,143.15
  5. Step 5: Solve for x
    x = 40,568,772,143.15/230,244.97
  6. Step 6: Final answer
    x = 176,198.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.