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Finding the Fourth Proportional to 120,980.22, 181,450.89 and 37,874.22

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Solution

The fourth proportional to 120,980.22, 181,450.89 and 37,874.22 is: 56,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,980.22 : 181,450.89 = 37,874.22 : x
  2. Step 2: Convert to fraction form
    120,980.22/181,450.89 = 37,874.22/x
  3. Step 3: Cross multiply
    120,980.22x = 181,450.89 × 37,874.22
  4. Step 4: Simplify right side
    120,980.22x = 6,872,310,927.06
  5. Step 5: Solve for x
    x = 6,872,310,927.06/120,980.22
  6. Step 6: Final answer
    x = 56,805.24

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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.