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Finding the Fourth Proportional to 259,683.92, 389,528.76 and 91,197.20

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Solution

The fourth proportional to 259,683.92, 389,528.76 and 91,197.20 is: 136,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,683.92 : 389,528.76 = 91,197.20 : x
  2. Step 2: Convert to fraction form
    259,683.92/389,528.76 = 91,197.20/x
  3. Step 3: Cross multiply
    259,683.92x = 389,528.76 × 91,197.20
  4. Step 4: Simplify right side
    259,683.92x = 35,523,932,231.47
  5. Step 5: Solve for x
    x = 35,523,932,231.47/259,683.92
  6. Step 6: Final answer
    x = 136,796.81

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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.