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Finding the Fourth Proportional to 202,257.70, 303,471.60 and 108,654.10

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Solution

The fourth proportional to 202,257.70, 303,471.60 and 108,654.10 is: 163,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,257.70 : 303,471.60 = 108,654.10 : x
  2. Step 2: Convert to fraction form
    202,257.70/303,471.60 = 108,654.10/x
  3. Step 3: Cross multiply
    202,257.70x = 303,471.60 × 108,654.10
  4. Step 4: Simplify right side
    202,257.70x = 32,973,433,573.56
  5. Step 5: Solve for x
    x = 32,973,433,573.56/202,257.70
  6. Step 6: Final answer
    x = 163,026.84

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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.