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Finding the Fourth Proportional to 202,458.44, 303,872.61 and 102,687.50

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Solution

The fourth proportional to 202,458.44, 303,872.61 and 102,687.50 is: 154,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,458.44 : 303,872.61 = 102,687.50 : x
  2. Step 2: Convert to fraction form
    202,458.44/303,872.61 = 102,687.50/x
  3. Step 3: Cross multiply
    202,458.44x = 303,872.61 × 102,687.50
  4. Step 4: Simplify right side
    202,458.44x = 31,203,917,120.01
  5. Step 5: Solve for x
    x = 31,203,917,120.01/202,458.44
  6. Step 6: Final answer
    x = 154,125.05

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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.