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Finding the Fourth Proportional to 150,738.32, 208,017.99 and 82,756.41

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Solution

The fourth proportional to 150,738.32, 208,017.99 and 82,756.41 is: 114,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,738.32 : 208,017.99 = 82,756.41 : x
  2. Step 2: Convert to fraction form
    150,738.32/208,017.99 = 82,756.41/x
  3. Step 3: Cross multiply
    150,738.32x = 208,017.99 × 82,756.41
  4. Step 4: Simplify right side
    150,738.32x = 17,214,822,067.82
  5. Step 5: Solve for x
    x = 17,214,822,067.82/150,738.32
  6. Step 6: Final answer
    x = 114,203.36

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