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Finding the Fourth Proportional to 202,033.31, 303,165.53 and 102,201.62

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Solution

The fourth proportional to 202,033.31, 303,165.53 and 102,201.62 is: 153,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,033.31 : 303,165.53 = 102,201.62 : x
  2. Step 2: Convert to fraction form
    202,033.31/303,165.53 = 102,201.62/x
  3. Step 3: Cross multiply
    202,033.31x = 303,165.53 × 102,201.62
  4. Step 4: Simplify right side
    202,033.31x = 30,984,008,924.32
  5. Step 5: Solve for x
    x = 30,984,008,924.32/202,033.31
  6. Step 6: Final answer
    x = 153,360.89

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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.