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Finding the Fourth Proportional to 202,224.60, 303,343.92 and 75,851.64

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Solution

The fourth proportional to 202,224.60, 303,343.92 and 75,851.64 is: 113,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,224.60 : 303,343.92 = 75,851.64 : x
  2. Step 2: Convert to fraction form
    202,224.60/303,343.92 = 75,851.64/x
  3. Step 3: Cross multiply
    202,224.60x = 303,343.92 × 75,851.64
  4. Step 4: Simplify right side
    202,224.60x = 23,009,133,816.03
  5. Step 5: Solve for x
    x = 23,009,133,816.03/202,224.60
  6. Step 6: Final answer
    x = 113,780.09

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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.