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Finding the Fourth Proportional to 120,097.60, 180,049.17 and 50,029.36

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Solution

The fourth proportional to 120,097.60, 180,049.17 and 50,029.36 is: 75,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,097.60 : 180,049.17 = 50,029.36 : x
  2. Step 2: Convert to fraction form
    120,097.60/180,049.17 = 50,029.36/x
  3. Step 3: Cross multiply
    120,097.60x = 180,049.17 × 50,029.36
  4. Step 4: Simplify right side
    120,097.60x = 9,007,744,743.63
  5. Step 5: Solve for x
    x = 9,007,744,743.63/120,097.60
  6. Step 6: Final answer
    x = 75,003.54

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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.