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Finding the Fourth Proportional to 120,993.90, 181,519.65 and 50,837.10

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Solution

The fourth proportional to 120,993.90, 181,519.65 and 50,837.10 is: 76,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,993.90 : 181,519.65 = 50,837.10 : x
  2. Step 2: Convert to fraction form
    120,993.90/181,519.65 = 50,837.10/x
  3. Step 3: Cross multiply
    120,993.90x = 181,519.65 × 50,837.10
  4. Step 4: Simplify right side
    120,993.90x = 9,227,932,599.02
  5. Step 5: Solve for x
    x = 9,227,932,599.02/120,993.90
  6. Step 6: Final answer
    x = 76,267.75

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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.