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Finding the Fourth Proportional to 120,642.21, 180,963.32 and 41,713.38

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Solution

The fourth proportional to 120,642.21, 180,963.32 and 41,713.38 is: 62,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,642.21 : 180,963.32 = 41,713.38 : x
  2. Step 2: Convert to fraction form
    120,642.21/180,963.32 = 41,713.38/x
  3. Step 3: Cross multiply
    120,642.21x = 180,963.32 × 41,713.38
  4. Step 4: Simplify right side
    120,642.21x = 7,548,591,524.65
  5. Step 5: Solve for x
    x = 7,548,591,524.65/120,642.21
  6. Step 6: Final answer
    x = 62,570.07

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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.