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Finding the Fourth Proportional to 129,449.88, 194,174.82 and 74,007

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Solution

The fourth proportional to 129,449.88, 194,174.82 and 74,007 is: 111,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,449.88 : 194,174.82 = 74,007 : x
  2. Step 2: Convert to fraction form
    129,449.88/194,174.82 = 74,007/x
  3. Step 3: Cross multiply
    129,449.88x = 194,174.82 × 74,007
  4. Step 4: Simplify right side
    129,449.88x = 14,370,295,903.74
  5. Step 5: Solve for x
    x = 14,370,295,903.74/129,449.88
  6. Step 6: Final answer
    x = 111,010.50

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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.