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Finding the Fourth Proportional to 150,990.80, 208,359.29 and 82,994.69

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Solution

The fourth proportional to 150,990.80, 208,359.29 and 82,994.69 is: 114,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,990.80 : 208,359.29 = 82,994.69 : x
  2. Step 2: Convert to fraction form
    150,990.80/208,359.29 = 82,994.69/x
  3. Step 3: Cross multiply
    150,990.80x = 208,359.29 × 82,994.69
  4. Step 4: Simplify right side
    150,990.80x = 17,292,715,410.56
  5. Step 5: Solve for x
    x = 17,292,715,410.56/150,990.80
  6. Step 6: Final answer
    x = 114,528.27

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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.