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Finding the Fourth Proportional to 278,909.26, 418,197.50 and 110,453.74

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Solution

The fourth proportional to 278,909.26, 418,197.50 and 110,453.74 is: 165,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,909.26 : 418,197.50 = 110,453.74 : x
  2. Step 2: Convert to fraction form
    278,909.26/418,197.50 = 110,453.74/x
  3. Step 3: Cross multiply
    278,909.26x = 418,197.50 × 110,453.74
  4. Step 4: Simplify right side
    278,909.26x = 46,191,477,933.65
  5. Step 5: Solve for x
    x = 46,191,477,933.65/278,909.26
  6. Step 6: Final answer
    x = 165,614.72

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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.