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Finding the Fourth Proportional to 278,781.60, 418,198.30 and 79,106.88

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Solution

The fourth proportional to 278,781.60, 418,198.30 and 79,106.88 is: 118,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,781.60 : 418,198.30 = 79,106.88 : x
  2. Step 2: Convert to fraction form
    278,781.60/418,198.30 = 79,106.88/x
  3. Step 3: Cross multiply
    278,781.60x = 418,198.30 × 79,106.88
  4. Step 4: Simplify right side
    278,781.60x = 33,082,362,734.30
  5. Step 5: Solve for x
    x = 33,082,362,734.30/278,781.60
  6. Step 6: Final answer
    x = 118,667.67

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Why These Related Problems?

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