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Finding the Fourth Proportional to 120,414.60, 180,623.72 and 45,569.99

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Solution

The fourth proportional to 120,414.60, 180,623.72 and 45,569.99 is: 68,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,414.60 : 180,623.72 = 45,569.99 : x
  2. Step 2: Convert to fraction form
    120,414.60/180,623.72 = 45,569.99/x
  3. Step 3: Cross multiply
    120,414.60x = 180,623.72 × 45,569.99
  4. Step 4: Simplify right side
    120,414.60x = 8,231,021,679.65
  5. Step 5: Solve for x
    x = 8,231,021,679.65/120,414.60
  6. Step 6: Final answer
    x = 68,355.68

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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.