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Finding the Fourth Proportional to 120,257.64, 180,357.30 and 50,098.68

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Solution

The fourth proportional to 120,257.64, 180,357.30 and 50,098.68 is: 75,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,257.64 : 180,357.30 = 50,098.68 : x
  2. Step 2: Convert to fraction form
    120,257.64/180,357.30 = 50,098.68/x
  3. Step 3: Cross multiply
    120,257.64x = 180,357.30 × 50,098.68
  4. Step 4: Simplify right side
    120,257.64x = 9,035,662,658.36
  5. Step 5: Solve for x
    x = 9,035,662,658.36/120,257.64
  6. Step 6: Final answer
    x = 75,135.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.