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Finding the Fourth Proportional to 202,254.87, 303,093.16 and 148,525.30

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Solution

The fourth proportional to 202,254.87, 303,093.16 and 148,525.30 is: 222,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,254.87 : 303,093.16 = 148,525.30 : x
  2. Step 2: Convert to fraction form
    202,254.87/303,093.16 = 148,525.30/x
  3. Step 3: Cross multiply
    202,254.87x = 303,093.16 × 148,525.30
  4. Step 4: Simplify right side
    202,254.87x = 45,017,002,516.95
  5. Step 5: Solve for x
    x = 45,017,002,516.95/202,254.87
  6. Step 6: Final answer
    x = 222,575.62

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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.