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Finding the Fourth Proportional to 120,757.74, 181,165.77 and 41,870.22

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Solution

The fourth proportional to 120,757.74, 181,165.77 and 41,870.22 is: 62,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,757.74 : 181,165.77 = 41,870.22 : x
  2. Step 2: Convert to fraction form
    120,757.74/181,165.77 = 41,870.22/x
  3. Step 3: Cross multiply
    120,757.74x = 181,165.77 × 41,870.22
  4. Step 4: Simplify right side
    120,757.74x = 7,585,450,646.37
  5. Step 5: Solve for x
    x = 7,585,450,646.37/120,757.74
  6. Step 6: Final answer
    x = 62,815.44

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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.