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Finding the Fourth Proportional to 120,728.70, 181,222.65 and 68,240.70

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Solution

The fourth proportional to 120,728.70, 181,222.65 and 68,240.70 is: 102,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,728.70 : 181,222.65 = 68,240.70 : x
  2. Step 2: Convert to fraction form
    120,728.70/181,222.65 = 68,240.70/x
  3. Step 3: Cross multiply
    120,728.70x = 181,222.65 × 68,240.70
  4. Step 4: Simplify right side
    120,728.70x = 12,366,760,491.86
  5. Step 5: Solve for x
    x = 12,366,760,491.86/120,728.70
  6. Step 6: Final answer
    x = 102,434.31

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