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Finding the Fourth Proportional to 120,658.80, 180,917.23 and 45,784.21

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Solution

The fourth proportional to 120,658.80, 180,917.23 and 45,784.21 is: 68,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,658.80 : 180,917.23 = 45,784.21 : x
  2. Step 2: Convert to fraction form
    120,658.80/180,917.23 = 45,784.21/x
  3. Step 3: Cross multiply
    120,658.80x = 180,917.23 × 45,784.21
  4. Step 4: Simplify right side
    120,658.80x = 8,283,151,998.65
  5. Step 5: Solve for x
    x = 8,283,151,998.65/120,658.80
  6. Step 6: Final answer
    x = 68,649.38

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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.