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Finding the Fourth Proportional to 280,450.35, 420,613.56 and 80,726.22

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Solution

The fourth proportional to 280,450.35, 420,613.56 and 80,726.22 is: 121,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,450.35 : 420,613.56 = 80,726.22 : x
  2. Step 2: Convert to fraction form
    280,450.35/420,613.56 = 80,726.22/x
  3. Step 3: Cross multiply
    280,450.35x = 420,613.56 × 80,726.22
  4. Step 4: Simplify right side
    280,450.35x = 33,954,542,779.54
  5. Step 5: Solve for x
    x = 33,954,542,779.54/280,450.35
  6. Step 6: Final answer
    x = 121,071.49

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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.