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Finding the Fourth Proportional to 120,105.49, 180,165.66 and 40,150.65

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Solution

The fourth proportional to 120,105.49, 180,165.66 and 40,150.65 is: 60,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,105.49 : 180,165.66 = 40,150.65 : x
  2. Step 2: Convert to fraction form
    120,105.49/180,165.66 = 40,150.65/x
  3. Step 3: Cross multiply
    120,105.49x = 180,165.66 × 40,150.65
  4. Step 4: Simplify right side
    120,105.49x = 7,233,767,255.10
  5. Step 5: Solve for x
    x = 7,233,767,255.10/120,105.49
  6. Step 6: Final answer
    x = 60,228.45

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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.