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Finding the Fourth Proportional to 120,406.94, 180,619.07 and 41,520.03

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Solution

The fourth proportional to 120,406.94, 180,619.07 and 41,520.03 is: 62,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,406.94 : 180,619.07 = 41,520.03 : x
  2. Step 2: Convert to fraction form
    120,406.94/180,619.07 = 41,520.03/x
  3. Step 3: Cross multiply
    120,406.94x = 180,619.07 × 41,520.03
  4. Step 4: Simplify right side
    120,406.94x = 7,499,308,320.05
  5. Step 5: Solve for x
    x = 7,499,308,320.05/120,406.94
  6. Step 6: Final answer
    x = 62,283.02

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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.