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Finding the Fourth Proportional to 280,170.10, 419,869.68 and 120,054.37

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Solution

The fourth proportional to 280,170.10, 419,869.68 and 120,054.37 is: 179,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,170.10 : 419,869.68 = 120,054.37 : x
  2. Step 2: Convert to fraction form
    280,170.10/419,869.68 = 120,054.37/x
  3. Step 3: Cross multiply
    280,170.10x = 419,869.68 × 120,054.37
  4. Step 4: Simplify right side
    280,170.10x = 50,407,189,914.50
  5. Step 5: Solve for x
    x = 50,407,189,914.50/280,170.10
  6. Step 6: Final answer
    x = 179,916.38

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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.