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Finding the Fourth Proportional to 202,573.36, 303,695.61 and 84,333.21

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Solution

The fourth proportional to 202,573.36, 303,695.61 and 84,333.21 is: 126,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,573.36 : 303,695.61 = 84,333.21 : x
  2. Step 2: Convert to fraction form
    202,573.36/303,695.61 = 84,333.21/x
  3. Step 3: Cross multiply
    202,573.36x = 303,695.61 × 84,333.21
  4. Step 4: Simplify right side
    202,573.36x = 25,611,625,654.21
  5. Step 5: Solve for x
    x = 25,611,625,654.21/202,573.36
  6. Step 6: Final answer
    x = 126,431.36

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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.