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Finding the Fourth Proportional to 120,976.56, 181,453.12 and 36,737.46

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Solution

The fourth proportional to 120,976.56, 181,453.12 and 36,737.46 is: 55,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,976.56 : 181,453.12 = 36,737.46 : x
  2. Step 2: Convert to fraction form
    120,976.56/181,453.12 = 36,737.46/x
  3. Step 3: Cross multiply
    120,976.56x = 181,453.12 × 36,737.46
  4. Step 4: Simplify right side
    120,976.56x = 6,666,126,737.88
  5. Step 5: Solve for x
    x = 6,666,126,737.88/120,976.56
  6. Step 6: Final answer
    x = 55,102.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.