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Finding the Fourth Proportional to 202,808.20, 303,916.50 and 114,086.56

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Solution

The fourth proportional to 202,808.20, 303,916.50 and 114,086.56 is: 170,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,808.20 : 303,916.50 = 114,086.56 : x
  2. Step 2: Convert to fraction form
    202,808.20/303,916.50 = 114,086.56/x
  3. Step 3: Cross multiply
    202,808.20x = 303,916.50 × 114,086.56
  4. Step 4: Simplify right side
    202,808.20x = 34,672,788,012.24
  5. Step 5: Solve for x
    x = 34,672,788,012.24/202,808.20
  6. Step 6: Final answer
    x = 170,963.44

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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.