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Finding the Fourth Proportional to 202,609.70, 303,513.60 and 177,677.90

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Solution

The fourth proportional to 202,609.70, 303,513.60 and 177,677.90 is: 266,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,609.70 : 303,513.60 = 177,677.90 : x
  2. Step 2: Convert to fraction form
    202,609.70/303,513.60 = 177,677.90/x
  3. Step 3: Cross multiply
    202,609.70x = 303,513.60 × 177,677.90
  4. Step 4: Simplify right side
    202,609.70x = 53,927,659,069.44
  5. Step 5: Solve for x
    x = 53,927,659,069.44/202,609.70
  6. Step 6: Final answer
    x = 266,165.24

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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.