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Finding the Fourth Proportional to 202,321.60, 303,117.90 and 96,908.20

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Solution

The fourth proportional to 202,321.60, 303,117.90 and 96,908.20 is: 145,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,321.60 : 303,117.90 = 96,908.20 : x
  2. Step 2: Convert to fraction form
    202,321.60/303,117.90 = 96,908.20/x
  3. Step 3: Cross multiply
    202,321.60x = 303,117.90 × 96,908.20
  4. Step 4: Simplify right side
    202,321.60x = 29,374,610,076.78
  5. Step 5: Solve for x
    x = 29,374,610,076.78/202,321.60
  6. Step 6: Final answer
    x = 145,187.71

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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.