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Finding the Fourth Proportional to 150,657.80, 207,907.20 and 82,675.92

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Solution

The fourth proportional to 150,657.80, 207,907.20 and 82,675.92 is: 114,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,657.80 : 207,907.20 = 82,675.92 : x
  2. Step 2: Convert to fraction form
    150,657.80/207,907.20 = 82,675.92/x
  3. Step 3: Cross multiply
    150,657.80x = 207,907.20 × 82,675.92
  4. Step 4: Simplify right side
    150,657.80x = 17,188,919,034.62
  5. Step 5: Solve for x
    x = 17,188,919,034.62/150,657.80
  6. Step 6: Final answer
    x = 114,092.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.