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Finding the Fourth Proportional to 188,269.48, 282,458.88 and 75,891.70

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Solution

The fourth proportional to 188,269.48, 282,458.88 and 75,891.70 is: 113,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,269.48 : 282,458.88 = 75,891.70 : x
  2. Step 2: Convert to fraction form
    188,269.48/282,458.88 = 75,891.70/x
  3. Step 3: Cross multiply
    188,269.48x = 282,458.88 × 75,891.70
  4. Step 4: Simplify right side
    188,269.48x = 21,436,284,583.30
  5. Step 5: Solve for x
    x = 21,436,284,583.30/188,269.48
  6. Step 6: Final answer
    x = 113,859.58

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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.