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Finding the Fourth Proportional to 150,744.60, 208,030.70 and 82,764.28

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Solution

The fourth proportional to 150,744.60, 208,030.70 and 82,764.28 is: 114,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,744.60 : 208,030.70 = 82,764.28 : x
  2. Step 2: Convert to fraction form
    150,744.60/208,030.70 = 82,764.28/x
  3. Step 3: Cross multiply
    150,744.60x = 208,030.70 × 82,764.28
  4. Step 4: Simplify right side
    150,744.60x = 17,217,511,103.40
  5. Step 5: Solve for x
    x = 17,217,511,103.40/150,744.60
  6. Step 6: Final answer
    x = 114,216.44

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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.