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Finding the Fourth Proportional to 202,507.10, 303,432.60 and 172,982.60

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Solution

The fourth proportional to 202,507.10, 303,432.60 and 172,982.60 is: 259,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,507.10 : 303,432.60 = 172,982.60 : x
  2. Step 2: Convert to fraction form
    202,507.10/303,432.60 = 172,982.60/x
  3. Step 3: Cross multiply
    202,507.10x = 303,432.60 × 172,982.60
  4. Step 4: Simplify right side
    202,507.10x = 52,488,560,072.76
  5. Step 5: Solve for x
    x = 52,488,560,072.76/202,507.10
  6. Step 6: Final answer
    x = 259,193.68

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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.