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Finding the Fourth Proportional to 202,330.60, 303,131.40 and 96,917.20

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Solution

The fourth proportional to 202,330.60, 303,131.40 and 96,917.20 is: 145,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,330.60 : 303,131.40 = 96,917.20 : x
  2. Step 2: Convert to fraction form
    202,330.60/303,131.40 = 96,917.20/x
  3. Step 3: Cross multiply
    202,330.60x = 303,131.40 × 96,917.20
  4. Step 4: Simplify right side
    202,330.60x = 29,378,646,520.08
  5. Step 5: Solve for x
    x = 29,378,646,520.08/202,330.60
  6. Step 6: Final answer
    x = 145,201.20

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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.