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Finding the Fourth Proportional to 150,366.23, 207,505.39 and 82,385.77

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Solution

The fourth proportional to 150,366.23, 207,505.39 and 82,385.77 is: 113,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,366.23 : 207,505.39 = 82,385.77 : x
  2. Step 2: Convert to fraction form
    150,366.23/207,505.39 = 82,385.77/x
  3. Step 3: Cross multiply
    150,366.23x = 207,505.39 × 82,385.77
  4. Step 4: Simplify right side
    150,366.23x = 17,095,491,334.30
  5. Step 5: Solve for x
    x = 17,095,491,334.30/150,366.23
  6. Step 6: Final answer
    x = 113,692.36

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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.