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Finding the Fourth Proportional to 202,324.60, 303,122.40 and 96,911.20

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Solution

The fourth proportional to 202,324.60, 303,122.40 and 96,911.20 is: 145,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,324.60 : 303,122.40 = 96,911.20 : x
  2. Step 2: Convert to fraction form
    202,324.60/303,122.40 = 96,911.20/x
  3. Step 3: Cross multiply
    202,324.60x = 303,122.40 × 96,911.20
  4. Step 4: Simplify right side
    202,324.60x = 29,375,955,530.88
  5. Step 5: Solve for x
    x = 29,375,955,530.88/202,324.60
  6. Step 6: Final answer
    x = 145,192.21

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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.