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Finding the Fourth Proportional to 278,832.50, 418,013.58 and 120,942.02

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Solution

The fourth proportional to 278,832.50, 418,013.58 and 120,942.02 is: 181,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,832.50 : 418,013.58 = 120,942.02 : x
  2. Step 2: Convert to fraction form
    278,832.50/418,013.58 = 120,942.02/x
  3. Step 3: Cross multiply
    278,832.50x = 418,013.58 × 120,942.02
  4. Step 4: Simplify right side
    278,832.50x = 50,555,406,752.63
  5. Step 5: Solve for x
    x = 50,555,406,752.63/278,832.50
  6. Step 6: Final answer
    x = 181,311.03

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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.