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Finding the Fourth Proportional to 174,633.66, 261,731.28 and 74,676.30

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Solution

The fourth proportional to 174,633.66, 261,731.28 and 74,676.30 is: 111,920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,633.66 : 261,731.28 = 74,676.30 : x
  2. Step 2: Convert to fraction form
    174,633.66/261,731.28 = 74,676.30/x
  3. Step 3: Cross multiply
    174,633.66x = 261,731.28 × 74,676.30
  4. Step 4: Simplify right side
    174,633.66x = 19,545,123,584.66
  5. Step 5: Solve for x
    x = 19,545,123,584.66/174,633.66
  6. Step 6: Final answer
    x = 111,920.71

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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.