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Finding the Fourth Proportional to 175,796.58, 263,790.84 and 74,578.98

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Solution

The fourth proportional to 175,796.58, 263,790.84 and 74,578.98 is: 111,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,796.58 : 263,790.84 = 74,578.98 : x
  2. Step 2: Convert to fraction form
    175,796.58/263,790.84 = 74,578.98/x
  3. Step 3: Cross multiply
    175,796.58x = 263,790.84 × 74,578.98
  4. Step 4: Simplify right side
    175,796.58x = 19,673,251,780.54
  5. Step 5: Solve for x
    x = 19,673,251,780.54/175,796.58
  6. Step 6: Final answer
    x = 111,909.18

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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.