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Finding the Fourth Proportional to 285,067.56, 427,596.86 and 98,080.68

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Solution

The fourth proportional to 285,067.56, 427,596.86 and 98,080.68 is: 147,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,067.56 : 427,596.86 = 98,080.68 : x
  2. Step 2: Convert to fraction form
    285,067.56/427,596.86 = 98,080.68/x
  3. Step 3: Cross multiply
    285,067.56x = 427,596.86 × 98,080.68
  4. Step 4: Simplify right side
    285,067.56x = 41,938,990,794.66
  5. Step 5: Solve for x
    x = 41,938,990,794.66/285,067.56
  6. Step 6: Final answer
    x = 147,119.48

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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.